Answer:
y=20x-57
Step-by-step explanation:
It's really simple once you know the general formula for a linear equation.
y=mx+b, where m is the slope and b is the y intercept.
Given this information, we can choose any two points from the table to find the slope first.
The slope formula is:
[tex]m=\frac{y1-y2}{x1-x2}[/tex]
So we can pick two coordinates. Let's say (0, -57) and (1,-37)
Now we subtract -57 from -37 and subtract 0 from 1 and then divide them.
By doing that, we get:
[tex]=\frac{-57-(-37)}{0-1}\\= \frac{-20}{-1}\\ =20[/tex]
so m=20.
That tells us that the equation is y=20x+b
We need to find b, so all we need to do is find b, so we plug in one of the coordinates again, lets say (0,-57)
-57=20(0)+b
-57=b
Therefore we know the value of b and m, so we form the equation:
y=20x-57
Please give brainliest if this helped :)