Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6

Answer 1

2y = 8x-6

y = 4x -3 has slope = 4

any perpendicular line has a negative inverse slope = -1/4

y =(-1/4)x + b. to find b plug in the point (-3,3), x=-3, y=3

3 = (-1/4)(-3) +b

3 = 3/4 +b

b = 3-3/4 = 2 1/4 = 9/4

y= -x/4 +9/4 is the perpendicular line through the given point, in slope intercept form

or

x +4y = 9 in standard form