Question

choose an equation in slope-intercept form for the line that passes through (-8,1) and is perpendicular to the y=2x-17. select one: a. y= -(1/2)x - 5 b. y= -2x - 4 c. y= -(1/2)x - 3 d. y= -2x 1

Answer 1

y = 2x - 17, comparing to y = mx + c, slope m = 2.

If perpendicular, the new slope would be -1/2, that is the negative reciprocal of 2.

And passing through (-8 , 1).

using y = mx + c,  and x = -8,  y = 1,  m = -1/2

1 = -1/2*-8 + c

1 = 4 + c

1 - 4 = c

c =  -3

y = mx + c,  substituting m = -1/2, and c = -3,    y = -(1/2)x - 3.

Option C.