Question

3. Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 4x + 1 (12,-6)

a)y = -1/4x + 12
b)y = -1/4x - 3
c)y = -1/4x - 6
d)y= -1/4x + 3

Answer 1

D. y = -1/4x + 3

Explanation:

Because it is the "Correct Answer"

Answer 2

D. y = -1/4x + 3

Explanation:

If the line is perpendicular, it will have a opposite reciprocal slope.

So, the slope will be -1/4.

Plug in this slope and the given point into y = mx + b, and solve for b:

y = mx + b

-6 = -1/4(12) + b

-6 = -3 + b

-3 = b

Plug in the slope and y intercept into y = mx + b

y = -1/4x - 3

So, the correct answer is D. y = -1/4x + 3