Slope -2 passes through (-3,14)

Answer 1

You want to use point-slope formula here, since you are given a point and a slope to begin. Point slope formula is y-y₁=m(x-x₁) where m is your slope, and your point is (x₁,y₁).

Plugging everything in, this is what happens to our equation:

y-y₁=m(x-x₁)

y-14=(-2)(x-(-3))

y-14=(-2)(x+3) by simplification

y-14=-2x-6 by distributive property

y= 2x-6+14 by addition property of equality

y = 2x+8 by simplification