Question

What is the equation of the line that is perpendicular to y = -4x +5 and passes

through the point (4, -3)?
A.y=4x-19 B.y=-4+13 C.y=1/4x-4 D.y=-1/4x-2

Answer 1

The answer is C, y = 1/4x - 4

Explanation:

First, we have to find the slope of the perpendicular line, and to do so you must take the slope of the given line and opposite reciprocate it.

To do so, you first reciprocate the slope by flipping the numerator and denominator which now makes -4 into -1/4.

Then we have to make it the opposite value, like making a negative into a positive or a positive into a negative. In this case you make -1/4 into a positive 1/4.

We now have the slope of the perpendicular line and can make out answer choices A and B. Which now leaves us with C and D.

The line must go through the point (4, -3). To do that we must adjust the y-intercept until it goes though that point.

We get the y-intercept of -4 and the line that has the y-intercept of -4 and the slope of 1/4 is C.

You answer is C, y = 1/4x - 4.