Through: (-9, 0), perpendicular to
y = 3x - 2
In slope intercept form

The equation perpendicular to  y = 3x - 2 and passing through  (-9, 0) in the slope-intercept form will be:

Step-by-step explanation:

The slope-intercept form of the line equation

where

Given the line

y = 3x - 2

comparing with the slope-intercept form of the line equation

The slope of the line y = 3x - 2 is: m = 3

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = 3

Thus, the slope of the the new perpendicular line = – 1/m = -1/3 = -1/3

The point-slope form of the line equation is:

where

In our case:

now substituting the perpendicular slope m = -1/3 and (-9, 0) in the point-slope form of the line equation

Therefore, the equation perpendicular to  y = 3x - 2 and passing through  (-9, 0) in the slope-intercept form will be:

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step-by-step explanation: