Question

Write an equation in slope intercept form that passes through the point (-4,2) and is perpendicular to y=2x+2.

Answer 1

Explanation

Perpendicular lines have slopes that are negative reciprocals of one another.

so, in this case, the given slope is 2.

The negative reciprocal of that would be -1/2.

so far, our equation looks like: y=-1/2x+b

now, take the point given to us, (-4,2) and plug it into the y and x values.

2= -1/2(-4) +b

2= b+2

b=0

Our y intercept is zero, so our final answer will be:

`y=-(1)/(2) x`