Write an equation passing through the point (-4,-1) and perpendicular to the line y = 2x - 4

Hello.

Perpendicular lines have slopes that are opposite reciprocals.

This means we take the slope of the given line, flop it over, and change its sign.

The slope of the given line is 2.

First, we flop it over:

Change its sign:

Now, we also have a point that the line passes through, so we can write its equation in Point-Slope Form:

Plug in the values:

(This is our final answer)

I hope it helps.

Have a nice day.

yes the data was not prsented

step-by-step explanation: