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

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

Guest Mar 19, 2021

#1**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: \(y = \frac{1}{2}x -2\)

Logarhythm Mar 19, 2021