Which equation represents the line that is perpendicular to y=1/4 and passes through (-6,9)? A. X= -9
B. x= -6
C. y= -9
D. y= -4

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, change its sign, and flop it over.

Here, we have 1/4.

First, we change its sign:

-1/4

Now, we flop it over:

-4

So the slope of the line perpendicular to the given line is -4.

Now, we are given the slope of the line and a point that the line passes through.

We can use the Point-Slope formula: