Answer:
y = (-1/2)x -3
Explanation:
We are given
y = 2x-17
which is in slope-intercept form: y = mx +b
Where m is the slope. so, m= 2
But this is perpendicular, When a line is perpendicular then the slope become -1/m so in our case the slope m will be = -1/2
Using the point(-8,1) we can find the b i.e the y intercept
We have x = -8, y =1 and m=-1/2
y = mx + b
1 = (-1/2)(-8) + b
1 = 4 + b
=> b = 1-4
b = -3
The equation of slope intercept form will be
y = mx + b
Putting value of m= -1/2 and b = -3
y = (-1/2)x -3