Answer is y= 5x -2
Step by step
In the slope-intercept form you use the slope of the line and the y-intercept to solve using y=mx+b.
m is the slope and b is the y-intercept.
First to find slope using y2 - y1 over x2 - x1
We have points (-3, -17) and (2, 8)
8 - -17 over 2 - -3
25 over 5
Slope (m) is 5
Now the equation
y - y1 = m (x - x1)
We will use points (2, 8) in the equation
y - 8 = 5(x - 2)
y - 8 = 5x -10
Add 8 to both sides to combine constants
y -8 +8 = 5x -10 + 8
Combine
y = 5x -2 This is your answer!
Check your work, chose an x/y pair from the chart and sub in for x and y
(2,8)
8 = 5(2) -2
8 = 10 -2
8 = 8
Solution is equal so equation is correct
Problem solved