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Write the equation of the line in slope intercept form.Through (-4, 6) and perpendicular to y = 2x - 3.

User PSS
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1 Answer

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23 votes

Step-by-step explanation:

A perpendicular line will have the reciprocal and opposite slope. The slope of the given line is 2, so the slope of the line we want is -1/2.

For now we have:


y=-(1)/(2)x+b

To find the y-intercept b we use the point. We have to replace x = -4 and y = 6 into the expression above and solve for b:


\begin{gathered} 6=-(1)/(2)\cdot(-4)+b \\ 6=2+b \\ b=4 \end{gathered}

Answer:

The equation of the line is:


y=-(1)/(2)x+4

User Mhrsalehi
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