Question

What is an equation of the line that is parallel to y=-4x - 5 and passes through the point (-2, 6)?

A.) y=-4x-14
B.) y=-4x-2
C.) y=-4x+14
D.) y=-4x+2​

Answer 1

B.) y=-4x-2

Explanation:

If the line is parallel, the slope is the same

y = -4x-5 has a slope of -4, so the new line has a slope of -4

We have a slope and a point, so we can use point slope form

y-y1 = m(x-x2)

y-6 = -4(x--2)

y-6 = -4(x+2)

Distribute

y-6 =-4x -8

Add 6 to each side

y-6+6 = -4x-8+6

y = -4x-2