Consider the line -9x-6y=8.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line

Consider the line 9x6y8 What is the slope of a line perpendicular to this line What is the slope of a line parallel to this line class=

Respuesta :

First, simplify the equation into slope-intercept form to make things easier. Slope-intercept form: y = mx + b

-9x - 6y = 8
-6y = 9x + 8
y = -9/6 - 8/6
y = -3/2 - 4/3

A line perpendicular to this would have a slope that is the negative reciprocal of the first slope. So, just flip the numerator and denominator and change to the opposite sign.

-3/2 becomes 2/3 (new slope)

A line parallel to this would have the same slope (-3/2).
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