Write an equation of the line that goes through the point (–6, 6) and is perpendicular to the line y=-2x+2

Slope-intercept form: y = x/2 + 9

Standard form: x - 2y = -18

Step-by-step explanation:

y = -2x + 2

This equation is already in slope-intercept form, y= mx + b, where slope (m) is equal to -2.

Slope of the line perpendicular to the given line

= 1/2 passing through point (-6, 6)

y - 6 = (1/2)(x + 6)

y = (1/2)x + 9 (Slope-intercept form)

2y = x + 18

x - 2y = -18 (Standard form)

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this