Question

Choose the equation of the line passing through the point (-4, -2) and perpendicular to y = -x + 6.

y = -x + 6

y = x - 6

y = -x - 2

y = x + 2

Answer 1

answer is d again like pre problem
slope should be +1
y-(-2)=1(x+4)
y=x+2

Answer 2

Product of slopes of two perpendicular lines is -1, so, like shining said, slope of new line = 1.
The general formula of a line with slope m through point (a, b) is:

y-b=m(x-a).

So all you have to do now is fill in m=1, a=-4, b=-2, this leads to:

y--2=1(x--4) <=> y+2=x+4 <=> y =x+2, so it's answer d.