+0  
 
0
46
1
avatar

Write an equation of the line that passes through the given point and is perpendicular to the given line

 

(-4,-4); y = -2x - 3

 Mar 19, 2021
 #1
avatar+507 
0

Since the slope of that line is -2, the the perpendicular one would be its negative reciprocal, which is \(\frac{1}{2}\)

This means you can use the equation and plug in the point (-4, -4) to find the y intercept:
\(y = mx + b\)

\(-4 = \frac{1}{2} \cdot (-4) + b\)

\(-4 = -2 + b\)

\(b = -2\)

 

This means the equation of the line, and your answer, is: \(y = \frac{1}{2}x -2\)

 Mar 19, 2021

49 Online Users

avatar
avatar
avatar