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Find the equation of the line passing through the point $(-1,8)$ that is perpendicular to the line $y = \frac{2}{3} x + 5$.  Enter the answer in slope-intercept form.

 Nov 28, 2021
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Step 1)  Find the slope of the given equation ... I'm having trouble reading your question, is it 2/3rds?

 

Step 2)  Find the negative reciprocal of the answer to step 1) ... -3/2  ... because perpendicular lines

              have slopes that are negative reciprocals.

 

Step 3)  Use the point intercept form for a line to find the needed equation.

               y - y1  =  m(x - x1)     --->     y - 8  =  -3/2(x - -1)

 

Step 4)  Simplify the equation from step 3) and solve for y.

 Nov 28, 2021

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