SOLUTION: Find the slope-intercept form for the line perpendicular to 2x-3y=-6 and passing through (4, -9)

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Question 1187472: Find the slope-intercept form for the line perpendicular to 2x-3y=-6 and passing through (4, -9)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the slope-intercept form for the line perpendicular to 2x-3y=-6 and passing through (4, -9)
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Find the slope-intercept form for the line perpendicular to Ax+By=C and passing through (p, v).
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Slope-intercept form is a form y=mx%2Bb
Slope of given line is -A%2FB. A line perpendicular to it will have slope B%2FA.

For perpendicular line to contain the point (p,v),
Bx-Ay=Bp-Av
-Ay=-Bx%2BBp-Av
y=%28B%2FA%29x%2B%28Bp-Av%29%2F%28-A%29
y=%28B%2FA%29x-Bp%2FA%2Bv
highlight_green%28y=%28B%2FA%29x%2B%28v-Bp%2FA%29%29

You can apply a similar process for your given equation and point, and simplify, putting into slope intercept form; or you can just substitute the values from your problem description into the formula just derived.