The point-slope form:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have
f(-9) = 10 → (-9, 10)
f(-1) = -2 → (-1, -2)
Substitute:
![m=\dfrac{-2-10}{-1-(-9)}=\dfrac{-12}{8}=-\dfrac{3}{2}=-1.5\\\\y-10=-1.5(x-(-9))\\\\y-10=-1.5(x+9)\qquad|\text{use distributive property}\\\\y-10=-1.5x-13.5\qquad|+10\\\\y=-1.5x-3.5](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-2-10%7D%7B-1-%28-9%29%7D%3D%5Cdfrac%7B-12%7D%7B8%7D%3D-%5Cdfrac%7B3%7D%7B2%7D%3D-1.5%5C%5C%5C%5Cy-10%3D-1.5%28x-%28-9%29%29%5C%5C%5C%5Cy-10%3D-1.5%28x%2B9%29%5Cqquad%7C%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5Cy-10%3D-1.5x-13.5%5Cqquad%7C%2B10%5C%5C%5C%5Cy%3D-1.5x-3.5)
<h3>Answer: f(x) = -1.5x - 3.5</h3>
Answer:
$31.63 per hour
Step-by-step explanation:
$31.63 per hour
40 hour weeks × 52 weeks = 2080 hours
65,788/2080= 31.63
hope this helped,brainliest?
A=100
b=8
w=108
756 divided by 7=108
Answer:
Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Step-by-step explanation:
cost of gas per gallon = $2.78
it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.
Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.
Let the quantity of gas bought be x gallon.
Total cost for x gallons = cost of gas per gallon*x = 2.78x
Given that total money paid by him is $18
2.78x = 18
x = 18/2.78 = 6.47
Thus, Cory bought 6.47 gallons
rate of change is $2.78 per gallon
For one pair of socks you pay $12 plus $2 shipping.
Let's use x as the variable for how many pairs of socks someone might buy.
If someone buys 5 pairs of socks, they will pay $62. $12 * 5 + $2
So, we can write the expression as 12x + 2.