write an equation in slope intercept form that passes through the points (-4,3) and (0,2)
Answers
Answer:
[tex]y = -\frac{1}{4}x +2[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (-4, 3), (0, 2)
(0, 2) = (x1, y1)
(-4, 3) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the formula used to find slope:
[tex]\frac{3-2}{-4-0}[/tex]
Simplify:
3 - 2 = 1
-4 - 0 = -4
[tex]\frac{1}{-4}= -\frac{1}{4}[/tex]
The slope is [tex]-\frac{1}{4}[/tex].
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (0, 2)) into the equation and solve for b:
[tex]2 = -\frac{1}{4} (0)+b[/tex]
2 = 0 + b
2 = b
The y-intercept is 2.
Now that we know the slope and the y-intercept, we can write the equation:
[tex]y = -\frac{1}{4}x +2[/tex]
Related Questions
can you graph y=4/5x-7 on a graph
Answers
a. Find (f + g)(x).
b. Find (f + g)(3).
Use the functions f(x)=x+5 g(x)=2x+1
Answers
Answer:
Step-by-step explanation:
[tex](f+g)(x) =f(x) + g(x)\\f(x) = x+ 5\\g(x) = 2x + 1\\(f+g)(x) = x+ 5 + 2x + 1\\(f+g)(x) = 3x + 6\\\\(f+g)(3) = 3(3) + 6 = 15[/tex]
Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.
Answers
Step-by-step explanation:
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2. So 1/2 of 60 is 30
Answer:D
Step-by-step explanation:
Explain why the vertical line does not represent a linear function.
y
5
G C
1
2 2
4 5 r
The vertical line has
for the input I
> EMERGENCY
Answers
Answer:
Its my first answer but may i have a brainlist please im new
Step-by-step explanation:
what is 2+2-3+7-9+23-6+78-34+89
what does that equal
Answers
2+2-37-9+23-6+78-34+89 = 149
Answer:
149
Step-by-step explanation:
2+2-3+7-9+23-6+78-34+89
2+2+7+23+78+89=201
3-9-6-34=52
201-52
149
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answers
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
Find the difference between 7/10 and 1/5.
Answers
Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
What is the equation of the line that has a slope of -6/5 and goes through the point (5, -4)?
Answers
Answer:
Step-by-step explanation:
Given
slope =6/5
point =(5, -4)
So
the equation of the line =
(y-y1)=m(x-x1)
Where X1=5,y1=-4,m=6/5
Put the values
(Y+4)=6/5(x-5)
5(Y+4)=6(x-5)
5y+20=6x-30
5y-6x=-30-20
-6x+5y=-50
6x-5y=50.
So the equation of the line is 6x-5y=50.
Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)
Answers
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
' the length of one side of an equilateral is 3x+2. its perimeter is 60 centimeters. write an equation that could be used to find the value of x. solve for x and then find the length of the side. ''
I need to find the equation and the side length :')
also please answer this quickly hhhhhhhhhhhhh
Answers
Answer:
Step-by-step explanation:
Triangle equilateral has 3 sides
3(3x+2) = 60
9x+6 =60
9x= 54
x=9
3x9 +2 = 20 One side = 20
20x3=60 3 sides = 60
Answer:
60
Step-by-step explanation: this is simple because it is lou
help me please i turn this in 5 minutes
Answers
Answer:
Its B
Step-by-step explanation:
50/10=5
Answer:
B. The store made a profit of $5.00 per store.
Step-by-step explanation:
As you can see on the graph, there is a point (200 , 40).
now i will use this equations:
200/40 = x
40 = number of shirts sold
200 = profit made from 40 shirts
x = amount of money per shirt sold.
200/40 = 5
Each shirt is sold for $5.00
Write true or false for each,
The Aztecs lived before the Mayans.
2) The Aztecs lived on rafts in the sea.
3) During the Aztec Empire, the Aztec people were always on the move to find food.
4) The Aztecs were ruled by a powerful emperor.
5) The sun was an important aspect of the Aztec religion.
6) Some Aztec people helped the Spanish colonizers to defeat the Aztec Empire.
Answers
True
False
True
True
No sure
Which of these is equivalent to 8: 5
3:4
3:7
4:2
4:3
Pls help
Answers
Answer:
I'm not 100% if its right but I think its 4:2.
Step-by-step explanation:
Answer:
the closest one i think is 4:3(dont get mad at me if its wrong)
Step-by-step explanation:
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answers
Answer/Step-by-step explanation:
Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.
Part B: a(t) = y.
a(t) = a + 100t
Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.
Part D: b(t) = y.
b(t) = b(1.1)^t
Part E: a(20) = a + 100(20)
1100 + 2000 = 3100
b(20) = b(1.1)^20
1100(1.1)^20
= 7400
There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.
Hope this helps!
*10 points* ANSWER ASAP WILL MARK AS BRAINLIEST!!
Do you have to regroup to find each sum?
Choose Yes or No.
38 + 12
29 + 15
28 + 7
27 + 12
Answers
Answer:
1) yes
2)yes
3) yes
4) no
Step-by-step explanation:
4y - 9 - 6y = 2(y + 5) - 3 solve for y
Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]
Step-by-step explanation:
[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]
Subtract like terms : 6y from 4y
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]
Subtract 3 from 10
[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]
Move 2y to left hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]
Move 9 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]
Combine like terms
[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]
Add the numbers : 7 and 9
[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]
Divide both sides by -4
[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]
Remember : Dividing a positive integer by any negative integer gives a negative integer.
[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]
------------------------------------------------------------
Let's check whether the value of y is -4 or not.
VerificationL.H.S : [tex] \sf{4y - 9 - 6y}[/tex]
plug the value of y and simplify
[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]
[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]
[tex] \dashrightarrow{ \sf{ - 1}}[/tex]
R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]
plug the value of y and simplify
[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]
[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]
[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]
[tex] \dashrightarrow{ \sf{ - 1}}[/tex]
∴ L.H.S = R.H.S
The value of y is -4
And we're done!
------------------------------------------------------------
Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Best regards! :D
~TheAnimeGirl
Please please help me i'm begging you!
Answers
Answer:
A is 8 ounces/ 12 cupcakes is 12 cupcakes/8 ounces I'm not sure about C and D is 18 cupcakes for 12 ounces of frosting
Step-by-step explanation:
Help!! I gotta turn it in a few minutes
Answers
Answer: 4/21
Step-by-step explanation:
1/7 = 6/42
2/3 = 28/42
28+6=34
42-34=8
8/42=4/21
Find the product.
(2a^2+b) (3a-3b)
Enter the correct answer.
Answers
=============================================
Work Shown:
(2a^2+b)(3a-3b)
c(3a-3b) ..... let c = 2a^2+b
3ac-3bc .... distribute
3a(c)-3b(c)
3a(2a^2+b)-3b(2a^2+b) .... plug in c = 2a^2+b
3a(2a^2)+3a(b)-3b(2a^2)-3b(b) ... distribute
6a^3+3ab-6a^2b-3b^2
6a^3-6a^2b+3ab-3b^2
You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.
Let f(x)=|x| and g(x)=x+2. What are the domain and range of (f•g)(x)?
Answers
Answer:
Step-by-step explanation:
f(x) = | x |
g(x) = x + 2
y = | x + 2 |
Domain: all real numbers
Range: y ≥ 0
P(x) = 3x³+ 2x²-x what is the value of P(2)
Answers
Answer:
polynomial is -1
so answer is-1
The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma
Answers
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
[tex] \longrightarrow [/tex] l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in
Given: m ∥ n, x ∥ y, and y ⊥ m. Use the diagram to find the angle measure.
Answers
Answer:
180
Step-by-step explanation:
m<2 + m<3 = 90
m<5 + m<6 = 90
m<2 + m<3 + m<5 + m<6 = 90 + 90 = 180
Answer: 180
MORE.FREE.POINTSS.
"I'm a cowboyy babyy"
this ones less points, BUT STILL
Answers
Answer:
thx may i have brainliest to plz i so close to next rank
Step-by-step explanation:
Answer:
bbbbbbbbbbbbbbbbbb
Step-by-step explanation:
popppppppppppppppppppppppppppppp
The info is in the picture
Answers
Answer:
no it isn't the inverse.
A child 4 1/2 feet tall casts a 6-foot shadow. A nearby statue casts a 12-foot shadow.
Answers
Answer: The statue is 9 feet tall.
Step-by-step explanation: Just double all of your values because 12 is 6x2.
Find the value of x!!!!!
Answers
Going across the line will give you the same number, being 58. Same thing for 76.
Same thing as before. 76+58= 134
180-134 = 46
X=46
I attached a photo of the answer
Determine whether the dilation from figure A to Figure B is a reduction or enlargement
Answers
Answer:
Step-by-step explanation:
The dilation from A to B is a reduction
[tex]b_{1}[/tex] = [tex]\frac{a_{1} }{3}[/tex]
[tex]b_{2}[/tex] = [tex]\frac{a_{2} }{3}[/tex]
What do you need to add to 5 7/8 to make 8
Answers
Answer:
[tex] 2 \frac{1}{8} [/tex]
Step-by-step explanation:
[tex]8 - 5 \frac{7}{8} \\ \\ = 8 - \frac{5 \times 8 + 7}{8} \\ \\ = 8 - \frac{40 + 7}{8} \\ \\ = 8 - \frac{47}{8} \\ \\ = \frac{8 \times 8 - 47}{8} \\ \\ = \frac{64 - 47}{8} \\ \\ = \frac{17}{8} \\ \\ = 2 \frac{1}{8} [/tex]
Step-by-step explanation:
5 7/8+x=8
x=8-5 7/8
l.c.m of denominators=8
=3 3/8
Convert the expression (5x + 2)(x - 7) from factored form to standard form
Answers
(5x)(x) = 5x^2
(5x)(-7) = -35x
(2)(x) = 2x
(2)(-7) = -14
5x^2 - 35x + 2x - 14
Now combine like terms.
5x^2 - 33x - 14.
This is the right answer because it is now in the form of ax^2 + bx + c
Answer:
(5x + 2)(x - 7) = 5x² - 33x - 14Step-by-step explanation:
[tex](5x+2)(x-7)=\\\\=(5x)(x)+(5x)(-7)+(2)(x)+(2)(-7)=\\\\=5x^2-35x+2x-14=\\\\=5x^2-33x-14[/tex]
