Question

Choose an equation in slope-intercept form for the line that passes through (-8,1) and is perpendicular to the y=2x-17.

Answer 1

Slope of perpendicular lines = opposite reciprocal
the slope of y = 2x - 17 is 2 or 2/1. 

we using opposite reciprocal
opposite reciprocal a/b is -b/a

2/1 would change into -(1/2)
now, input the value x and y, 
and the answer is c. y = -(1/2)x -3 

hope this help