Question

Choose the slope-intercept equation of the line that passes through the point (6, -6) and is perpendicular to y = 3x - 6.

y = 1/3x - 8

y = -3x + 12

y = 3x - 24

y = -1/3x - 4


i have other questions as well please help

Answer 1

Perpendicular Means Opposite Inverse slope, so the Opposite Inverse of 3x is -1/3x.
So, plugging that in as the slope of your mystery line,
y = mx + b
y = -1/3x + b
Using the point (6,-6), x is 6 and y is -6. Plugging that into your equation....
-6 = -1/3(6) + b
-6 = -2 + b
+2 +2
---------------
b = -4
Therefore, y = -1/3x -4

Answer 2

@chandhooguy d