Find the slope intercept equation that passes through (-3,8) and is perpendicular to the line with the equation: x-7y=12

A: y=1/7x + 59/7

B: y=-7x - 13

C: y=7x + 29

D: y = - 1/7x + 53/7

C. y = 7x + 29.

Step-by-step explanation:

First find the slope of the given line:

x - 7y = 12

7y = x - 12

y = 1/7 x - 12/7

The slope = 1/7 so the slope of the line perpendicular to this line is

- 1 / - 1/7 = 7.

Finding the equation of the required line:

y - y1 = m (x - x1)

y1 = 8, m = 7 and x1 = - 3:

y - 8 = 7 (x + 3)

y = 7x + 21 + 8

y = 7x + 29 answer.