Write an equation, in slope-intercept form,
for a line that passes through points (-4, 1)
and (2. 4).

Answers

Answer 1

Answer:

y = (3/2)x + 7

Step-by-step explanation:

(−4, 1) and (−2, 4)

 

slope m = rise/run = (4-1)/(-2-(-4)) = 3/2

 

Slope intercept form is y=mx+b

where m=slope, b = y-inercept

 

y = (3/2)x + b

 

Use one of the given points for (x,y) to find b

 

1 = (3/2)(-4) + b

1 = -6 + b

7 = b

 

y = (3/2)x + 7


Related Questions

How can you use the order of operation to explain why you cannot combine the variable terms before using the distributive property when solving the equation 7(x+5)-x=42

Answers

Answer:

Step-by-step explanation:

The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below.

Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.

Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.

Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways

We cannot combine the variable terms before using the distributive property when solving the equation as it will results in wrong answer.

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

Here the expression given is :

7(x+5)-x=42

The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.

Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways.

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

What is an equation in point-slope form of the line that passes through (-7, 1) and (-3, 9)?

Answers

writing the linear equation can be used by any any of those coordinates that are given

The point-slope form equation is given as:

y - y1 = m(x - x1)

m = Gradient

Making m the subject of the formula

m = y - y1 / x - x1

Where:

(-7, 1) = (x, y)

(-3,  9) = (x1, y1)

Solving for m

m = (1 - 9) /( -7 + 3)

m = -8/- 4

m = 2

Inputing this into our point slope form equation : y - y1 = m(x - x1)

We have:

y - 9 = 2(x + 3)

Therefore, Option D is the correct option

To learn more, visit the link below:

https://brainly.com/question/18350673

Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 68 pounds.
How much does Paula's dog weigh?
Use the diagram to find the weight of Paula's dog.
Carla's dog
Paula's dog
68 pounds
68 + 4 =
so Carla's dog weighs
pounds and Paula's dog weighs
pounds.
w

Answers

Answer:

51

Step-by-step explanation:

68/4=17

68-17=51

Answer:

Paula's dog weighs 51 pounds.

Carla's dog weighs 17 pounds.

17 times 3 equals 51.

Then 17 added to 51 equals to 68.

please help!!! thank you​

Answers

Answer:

liseN iNn c1as

Step-by-step explanation:

whats 2+2 ill give u acookie babh

Answers

4 is the answer duh how

Determine whether the given relations are functions.

Answers

Answer:

IT IS NOT A FUNCTION

Step-by-step explanation:

6 and 6 are both inputs so it is not a function.

& 2 and 2 are also the same

There must be one individual input (x) for it to be an function

What reference angle will you use to determine sin 330?
A.)30°
B.)45°
C.)60°
D.)0°

Answers

I think it’s answer c 60 degrees

The probabilities that stock A will rise in price is 0.42 and that stock B will rise in price is 0.58. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.14. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)

Answers

Answer:

0.92

Step-by-step explanation:

a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)

P(A) = 0.42

P(B) = 0.58

P(A|B) = 0.14

Step 1

P(A|B) × P(B) = 0.14 × 0.58

= 0.0812

The probability that at least one of the stocks will rise in price

P(A) + P(B) - 0.0812

0.42 + 0.58 - 0.0812

= 1 - 0.0812

= 0.9188

Approximately to 2 decimal place = 0.92

Write the sentence two plus three equal five seven two

Answers

Answer:

2 + 3 = 5 7 2

Step by Step Explanation:

ur welcome

Please help ASAP!!! I’m struggling

Answers

Answer:

10

Step-by-step explanation:

Answer:

eat well don't forget to eat your dinner okay

Please put the following numbers in order largest to smallest: 19/50; 0.37; 40%

Answers

Answer:

19/50   40%     0.37

Step-by-step explanation:

19/50 = 0.38

0.37 = 0.37

40% = 0.40

40%, 19/50, 0.37

what is the answer for 14x divided by 7x

Answers

Answer:

2x

Step-by-step explanation:

You're dividing 14 multiplied by a number by 7 multiplied by a number. So you'd get 2 multiplied by a number.

The circular opening of a vase has an inside diameter of 13.5 cm.

-13.5 c

What is the approximate area of this circular opening? (Use a = 3.14.)

Answers

Answer:

[tex]Area = 143cm^2[/tex]

Step-by-step explanation:

Given

Shape: Opening of a circular vase

[tex]Diameter =13.5cm[/tex]

[tex]\pi = 3.14[/tex]

Required

Determine the area

This opening implies a circle; hence the area will be calculated using area of a circle.

[tex]Area = \pi r^2[/tex]

Solve for radius (r)

[tex]r = \frac{d}{2}[/tex]

[tex]r = \frac{13.5\ cm}{2}[/tex]

[tex]r = 6.75\ cm[/tex]

Substitute 6.75 for r in [tex]Area = \pi r^2[/tex]

[tex]Area = 3.14 * 6.75^2[/tex]

[tex]Area = 143.06625[/tex]

[tex]Area = 143cm^2[/tex] --- Approximated

A regression equation for this line is y = -0.42x + 19.26 a. What do the slope and y-intercept indicate? The slope indicates that the percent in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year. b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%. The slope indicates tha the percent has remained the same for each year. The y-intercept indicates the percent in 1985 should have been 22%. d. There is not enough information to determine what the slope and y-intercept indicate.​

Answers

Answer:

B.The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%.

Step-by-step explanation:

A regression equation is it this form:

Y' = b0 + b1X

I am going to identify the slope and intercept in this equation to help us go further in our solution.

b1X is the slope. The slope usually has an x value multiplied to it

b0 is the intercept.

Back to our question, the equation in this question is

Y = -0.42X + 19.26

The slope is -0.42X.

The y intercept is 19.26

The slope has a negative sign, this shows us that the percentage is falling by about 0.4% every year while an intercept of 19.26 tells us that percentage in 1985 should have been about 19%.

I hope you found my solution useful?


In the worst storm in Sunnyville history, 6 inches of rain fell in 8 hours. What was the amount of rainfall per
hour?



A: 1/2 of an inch
B: 3/4 of an inch
C: 1 1/2 inches
D : 2 inches

Answers

Answer:

B. 3/4

Step-by-step explanation:

6/8=0.75

Answer: B

Step-by-step explanation:

6 = 8

3 = 4

1.5 = 2

0.75 = 1

Hope this helps!

Solve the inequality for x:
8 + 4(x - 3) + 3x < 24

Answers

Answer:

7x - 4 < 24

Step-by-step explanation:

8 + 4x - 12 + 3x < 24

3x + 4x - 12 + 8 < 24

7x - 4 < 24

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

8 + 4x - 12 + 3x < 24

3x + 4x - 12 + 8 < 24

7x - 4 < 24

Step-by-step explanation:

At Yogurt Express they charge $0.17 per ounce for yogurt and toppings. Maria pays $2.04 for her yogurt. How many ounces of yogurt and toppings did Maria get?

Answers

Answer:

12 ounces

Step-by-step explanation:

.17×12=2.04

HELP PLEASE:(( I will give brainliest

Answers

Answer:

15

Step-by-step explanation:

what goes in to 18 and 6

Answers

Answer:

Answer us 3

Step-by-step explanation:

3×2=6 3×6=18

Please help and i will brainliestttt

Answers

Answer:

7/3 cm per hour

Step-by-step explanation:

Answer:  7/3  or in decimal form 2.3   the three is repeating or in mixed number 2 1/3

Step-by-step explanation:

7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3

7 is for how much snow fell and the 3 is from how much time

Select all the expressions that equal -2 + 5. A -2 - (-5) B -2 - 5 C 5 - 2 D 5 + (-2)

Answers

Answer:

A

Step-by-step explanation:

500 POINTS WILL BE GIVEN OUT!

How can you drop two eggs the fewest amount of times, without them breaking?

Answers

Answer: Drop the egg from half way up the building. This divides the search space in half. If it breaks, start on the bottom floor and work your way up. If it doesn't, start on the next floor up and continue up duhhhhhhh

Step-by-step explanation:

Answer:

boiled egg side

Step-by-step explanation:

the shell is going to crack not the egg a

30 point question! WILL AWARD BRAINLIEST!

A ball is thrown across a playing field from a height of h = 5 ft above the ground at an angle of 45° to the horizontal at the speed of 20 ft/s. It can be deduced from physical principles that the path of the ball is modeled by the function
y = − (32/(20^2))x2 + x + 5


Find the horizontal distance the ball has traveled when it hits the ground. (Round your answer to one decimal place.)

Answers

y = [-32/(20)^2]x^2 + x + 5
a.) For maximum height, y' = 0
y'= (-32/200)x + 1 = 0
32/200x = 1
x = 200/32 = 6.25
The maximum height attained by the ball is [-32/(20)^2](6.25)^2 + 6.25 + 5 = 8.125 feet.

b.) At the point the ball hits the ground, y = 0
y = [-32/(20)^2]x^2 + x + 5 = 0
x = 16.3 ft

Answer:

Answers are down below ;)

Step-by-step explanation:

y = − (32/(20^2))x2 + x + 5

Plug into the calculator: -32/20^2 = -.08x^2

 Find the maximum height attained by the ball:

Rewrite the equation:

y= -.08x^2 + x +5

This parabola is a negative meaning that it will be maximum

to find the maximum we use the formula -b/2a

-(1)/ 2 (-.08) = -1/ -.16= 6.25

we plug 6.25 back into the equation y= -.08(6.25)^2+ (6.25) +5 = 8.125

The maximum height attained by the ball: 8.125 feet

Find the horizontal distance the ball has traveled when it hits the ground.

This can be found with the quadratic equation, x = [-b ± √(b2-4ac)]/2a

a= -.08 , -b= -1, c= 5 (When you are plugging in the numbers, make sure to break them down).

-(-1)± √(-1)^2-4(-.08)(5)] 2(-.08) -->

[-1 ± √(1 + 1.28)]/-.16 = [-1 ± √(2.6)]/-.16 = [-1 ± 1.61]/-.16 =

The horizontal distance of the ball is x = 16.31 feet

Say thank you by commenting down below :)

6+2(5×-3)=10 solve the equation?​

Answers

Answer: The answer will be that x=1

Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!

What kind of lines are shown?

Answers

Answer:

vertical and horizontal

Ticket

Use the number 45,897,310.

Rearrange the digits in the number so that the 9 is worth

10 times as much.

EXPLAIN your thinking on the line below your angin

Answers

Answer:

The rearrangement can be 45, 987 , 310

Step-by-step explanation:

Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently

The value of 9 presently is 90,000

So 10 times as worth will be 10 * 90,000 = 900,000

So we can have the new arrangement as;

45, 987, 310

thanks who ever help​

Answers

Answer:

Here's your answer! Let me know if you still need help?

what is the product of -3 and 5

it's on engenuity so I need answer​

Answers

Answer.........

-15

.______.

Starting with x=0.811, express x as a fraction in the simplest form


Show steps plz

Answers

Answer:

811/1000

Step-by-step explanation:

x =0.811

Step 1

Multiply both numerator and denominator by 1000

x = 0.811/1 × 1000/1000

= 811/1000

Therefore, x as a fraction in the simplest form is 811/1000

Which Polygons are similar to A? PLEASE ANSWER QUICKLY

Answers

Answer:

B and C are similar to A but E is same as A.

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