Answer: y = 1/2x -8
Step-by-step explanation:
The equation will be in slope intercept form which uses the formula y= mx +b where m is the slope and b is the y-intercept and those are the only numbers need to write the equation.
The points are (2,-7) (8,-4) to find the slope using these points,find the change in their y values and divide it by the change in the x values.
-7- (-4) = -3
2 - 8 = - 6
-3/-6 = 1/2
So in this case the slope is 1/2, now input it into the equation and use one of the points coordinates to solve for b the y intercept.
-7 = 1/2(2) + b
-7 = 1 + b
-1 -1
b = -8
The y intercept is -8 so we will have the equation y = 1/2x -8
