Graph a line that contains the point (3,-6) and has a slope of
2
khan academy i need it!!
Answers
Answer:
[tex]\boxed {\boxed {\sf y= 2x-12}}[/tex]
Step-by-step explanation:
We are given a slope and a point, so we can use the point-slope equation.
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and (x₁, y₁) is the point.
The slope is 2 and the point is (3,-6).
[tex]m= 2\\x_1=3 \\y_1=-6[/tex]
Substitute the values into the formula.
[tex]y--6=2(x-3)[/tex]
[tex]y+6=2(x-3)[/tex]
Distribute the 2 on the right side of the equation.
[tex]y+6=(2*x)+(2*-3)[/tex]
[tex]y+6=2x-6[/tex]
We want to get the line into the form: y=mx+b. We have to isolate y on one side of the equation. 6 is being added to y. The inverse of addition is subtraction; subtract 6 from both sides of the equation.
[tex]y+6-6=2x-6-6[/tex]
[tex]y=2x-6-6[/tex]
[tex]y=2x-12[/tex]
The line is y=2x-12 (slope=2 and y-intercept=-12)
Related Questions
Solve (-36 4/9)- (-10 2/9)- (18 2/9)
Answers
Hi! Would you guys mind anderring this? A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope?
Answers
Answer:
slope (m) = -50 or -50x
Step-by-step Explanation
I'm assuming that the x-axis is divided by 1 minute segments.
The slope is defined as "the change in y-coordinate" divided by "the change in x-coordinate"
Since the y value is decreasing (negative) 50 feet per minute, then it is safe to say that the slope is -50 (feet)/ 1 minute
Therefore... the slope is -50 or -50x depending on the answer the assignment is looking for
Answer:
Independent variable: Time in minutes
Dependent variable: The elevation in feet
Slope: -50
Y-Intercept: -100
Step-by-step explanation:
Just did the assignment
PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!!!
Perform the operation below
(-5x^2-9x+6)+(6x^2+10)
Answers
Answer:
The answer is x²-9x+16
Step-by-step explanation:
Answer:
x² - 9x + 16Step-by-step explanation:
(-5x² - 9x + 6) + (6x² + 10)
= -5x² - 9x + 6 + 6x² + 10
= 6x² - 5x² - 9x + 6 + 10
= x² - 9x + 16
3
Select the correct answer.
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A. A
B. B
C. C
D. D
This is my Plato post test on edmentum btw so don't answer if u don't know please
Answers
Rehana pays $284 in tax.
This is 2/9 of the money she earns.
How much does Rehana earn?
Answers
that is my answer
Is 4/8 equal to 6/12?
Answers
Answer:
yes becauseeee:
4/8 if we divide both by 4 be get 1/2
and with 6/12 if we divide both by 6 we also get a half
In a three-digit number, the tens digit is the same as the hundreds digit. The ones digit of this number is equal to 1/3 of the sum of the other two digits. Find the number if the sum of all its digits is equal to 24.
Answers
Answer:
The three digit number is;
996
Step-by-step explanation:
The three digit can be written xyz
ones digit is equal to 1/3 the sum of the two other digits
z = 1/3(x + y)
x + y + z = 24
Tens digit is same as hundreds digit
That means x = y
z = 1/3 (x + x) = 2x/3
So;
2x/3 + x + x = 24
Multiply through by 3
2x + 3(2x) = 72
8x = 72
x = 72/8
x = 9
x = y = 9
z = 1/3(18)
z = 6
Answer:
996
Step-by-step explanation:
i need help on these problems THANK YOUUU
Answers
Answer:
1 is (2.-2) but i cant see the rest
Step-by-step explanation:
Answer:
2. m = 1
3. y - (-1) = 5 (x - 4)
4. y = 5x - 21
Step-by-step explanation:
Work for #2
m (slope) = [tex]\frac{y2 - y1}{x2 - x1} \fracyx}[/tex]
m = [tex]\frac{-1 - 2}{-2 -1}[/tex]
m = [tex]\frac{-3}{-3}[/tex]
m = 1
Work for #3
y = -1/5x + 3 and through (4, -1)
The slope of a perperndicular line is the negative reciprocal. So, it is 5.
Plug this number into point-slope form. Use the points you were given (4,-1) in the equation as well.
y - y1 = m (x - x1)
y - (-1) = 5 (x - 4)
y + 1 = 5x - 20 (Only if you are supposed to simplify it)
Work for #4
Finish solving the equation
y - (-1) = 5 (x - 4)
y + 1 = 5x - 20
y = 5x - 20 - 1
y = 5x - 21
Multiply (x − 4)(x2 − 3x + 5).
Answers
Answer:
x3−7x2+17x−20
Step-by-step explanation
BTW the 3 and the 2 are like the tiny numbers at the top cuz i don't know how to do that on a computer
URGENT 8TH GRADE Solve for y.
Answers
Answer:
23 is the right answer of this question
help me plzzzz and fast
Answers
Answer:
A D
Step-by-step explanation:
Since it is a one time fee of 55$, that will be our y intercept.
That allows A and D and F possible answers.
It says 10$ per puzzle and they spent 1245$
So A and D are answers.
PLEASE HELP ME! THANK YOU!
Answers
9514 1404 393
Answer:
-6
Step-by-step explanation:
The average rate of change on the interval [1, 3] is ...
m = (g(3) -g(1))/(3 -1) = (-20 -(-8))/2 = -6
The average rate of change is -6 on the interval from 1 to 3.
Abby counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils . Each small box contains 24 boxes. Estimate the total number of of pencils. Explain why it might be better to have an underestimate rather than an overestimate.
Answers
Answer:
2,160 pencils
Step-by-step explanation:
Large boxes = 12
Small boxes = 18
Each large box contains 144 pencils . Each small box contains 24 pencils
Total pencil in large boxes = Total large boxes × number of pencils per box
= 12 × 144
= 1,728 pencils
Total pencil in small boxes = Total small boxes × number of pencils per box
= 18 × 24
= 432 pencils
Estimate the total number of of pencils
Total number of pencils = total pencils in large boxes + total pencil in small boxes
= 1,728 pencils + 432 pencils
= 2,160 pencils
It is better to have an underestimate than an overestimate so that you won't disappoint your buyers when they request for a quantity of supply. If it is underestimated; you can meet demand, if it is overestimated; you can't meet demand
If TRAP is an isosceles trapezoid, what is the value of x?
(5x +9)"
R
A. 9
B. 25
C. 18
D. 23
E. 19
F. Cannot be determined
Answers
Answer: 19, I had to get the question wrong :/
The value of x is 19
How to determine the value of x?From the question we understand that TRAP is an isosceles trapezoid
This means that the adjacent angles add up to 180 degrees.
So, we have:
5x + 9 + 4x = 180
Evaluate the like terms
9x = 171
Divide both sides by 9
x = 19
Hence, the value of x is 19
Read more about isosceles triangles at:
https://brainly.com/question/24371813
what is g(3)=
?????
Answers
Answer:
g(3) = 4
Step-by-step explanation:
The question means what is the value of y when x = 3
Locate x = 3 on the x- axis. Go vertically up until the dot is met and read off the corresponding value on the y- axis, that is y = 4
Thus when x = 3 then y = 4, or
g(3) = 4
The value of g(3) from the graph given is 4
The given diagram is a graph in the xy-plane with different coordinate points.
g(x) is the output value of the function for an input value of x.Th order to get g(3), this means that we need to get the corresponding y-value for the value of x.The point that has an x-coordinate of 3 is the point o the coordinate (3, 4). Hence the required value of y when x = 3 is 4.Hence we can conclude that the value of g(3) is 4
Learn more here: https://brainly.com/question/15646787
The height in feet of a squirrel running up and down a tree is a function of time in seconds. Here are statements describing the squirrels movement during four intervals of time Match each description with a statement about the average rate of change of the function for that interval. The squirrel runs up the tree
Answers
Answer:
answer choices?
Step-by-step explanation:
which equation, when solved, gives 8 for the value of x?
a. 5/2x + 7/2 = 3/4x + 14
b. 5/4x - 9 = 3/2x - 12
c. 5/4x - 2 = 3/2x - 4
d. 5/2x - 7 = 3/4x + 14
Answers
Answer: c. 5/4x - 2 = 3/2x - 4
Step-by-step explanation:Find the exact value using trigonomectric identities
12 pens for $11.40 What is the Unit Rate
Answers
Answer:
0.27 is the unit rate
Mark is a student, and he can work for at most 10 hours a week. He needs to earn at least
$44 to cover his weekly expenses. His dog-walking job pays $5 per hour and his job as a car
wash attendant pays $4 per hour. Write a system of inequalities to model the situation.
Answers
Answer:
[tex]5d+4w\geq 44\\d+w\leq 10[/tex]
Step-by-step explanation:
Let f be the number of hours worked as a dog walker, and w be the number of hours washing cars.
The hypotenuse and one leg of a right triangle measure 26 and 10, respectively. Find the measure of the third side. Which theorem is used to find the answer?
Answers
pythagorean theorem
Use common logarithms or natural logarithms and a calculator to evaluate to four decimals places.
Answers
Answer:
1.458 (approximately)
Step-by-step explanation:
log16(57)
=log(57)/log(16) (using common logarithm)
=1.458 (approximately)
(−12)⋅(−12)⋅(−12)
lkndslnfkdsbdf
Answers
Answer:
-1728
Step-by-step explanation:
First, you multiply -12 and -12 which is 144
After that multiply 144 by -12 which is -1728
Answer: -1728
Hope this helps!
Answer:
-1728
Step-by-step explanation:
A truck driver travels from a distributor to a retailer every week. The driver records the
distance that he is from the retailer at different times during his trip. After several weeks
of collecting data, the driver creates a scatter plot of the data.
The best-fit line is Y=73.6 - 67.8x
where x is the number of hours spent driving and y is the distance, in miles, from the
retailer.
Answers
Complete question is;
A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at different times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best–fit line is y = 73.6 – 67.8x, where x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Which of the following statements are true? Select all that apply.
The distance from the retailer increases with time.
The distance from the retailer decreases with time.
The distributor is 67.8 miles away from the retailer.
The distributor is 73.6 miles away from the retailer.
The truck is traveling at a rate of 67.8 miles per hour.
Answer:
B: The distance from the retailer decreases with time.
Step-by-step explanation:
Formula for best fit line is;
y = mx + b
Where;
m is slope
b is y-intercept
We are told that the best–fit line is y = 73.6 – 67.8x
This can be written as;
y = -67.8x + 73.6
This means the slope is negative and when x = 0, y = 73.6 which is the y-intercept.
We are told that x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Since we have a negative slope, it means that y is decreasing with increasing values of x.
Thus, we can say that the distance from the retailer decreases with time.
If f(x) = -3, then x = _____ .
Answers
Answer:
x = -5
Step-by-step explanation:
f(x) is the same thing as y. so when y=-3, find that point and the x is -5
The answer to the given problem can be stated as, "If f(x) = -3, then x = -5.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).In order to find the different values of f(x) for different x on a graph, draw perpendicular lines to both the axis.
The graph given in the problem shows different points lying on it.
In order to find the value of x at f(x) = -3, draw a perpendicular line from the graph at which the value of f(x) is -3.
The x coordinate obtained is given as x = -5.
Hence, the required value of x at f(x) = -3 is -5.
To know more about function click on,
https://brainly.com/question/5975436
#SPJ2
h(t) = -10+ - 6
h()= -44
Answers
Answer:
-44
Step-by-step explanation:
12x + 20 = 6(x + 4)
Algebra 2
Answers
12x + 20 = 6x + 24
Collect like terms and place the x’s on one side and the numbers on one side ,,
6x = 4
Divide both sides by six to get x alone,,
X= 6/4
X = 1.5
Step-by-step explanation:
I think this is answer. Idid not like to read maths book
what is 2x+5=17
need step by step explanation
Answers
Answer: [tex]x=6[/tex]
Step-by-step explanation:
[tex]2x+5=17[/tex]
[tex]-5=-5[/tex]
_________
[tex]2x=12[/tex]
[tex]\frac{2x}{2}= \frac{12}{2}[/tex]
[tex]x=6[/tex]
Answer:
X=6
Step-by-step explanation:
Subtract 5 from 5 to get 2x=17
Subtract 5 from 17 aswell to get 2x=12
Devide both sides by 2 to get x=6
Jane completes 5 math problems in 12 minutes. How many can she complete in one minute?
Answers
Answer:
2.4
Step-by-step explanation:
all you have to do is divide 12 by 5
Slope of (-8,2) and (-8,-6)
Answers
Answer:
-8
Step-by-step explanation:
The angle measurements in the diagram are represented
by the following expressions.
ZA= 63 - 189
ZB = 142 + 38°
Solve for x and then find the measure of ZA:
Answers
Answer:
∠A = 30°Step-by-step explanation:
∠A + ∠B = 180
where ∠A = 6x - 18
∠B = 14x + 38
first step is to solve for x:
6x - 18 + 14x + 38 = 180
6x + 14x = 180 + 18 - 38
20x = 160
x = 160 / 20
x = 8
now substitute x=8 into angle A
∠A = 6x - 18
∠A = 6(8) - 18
∠A = 30°
