Question

Choose the equation of the line passing through the point (-3, 1) and parallel to y = -x - 4.

Answer 1

y = x + 2

y = -x - 2

y = -x + 4

y = x - 4

-the options

Answer 2

For a function to be parallel to another, the slopes MUST be the same, and y-intercept must be different; in this case, the slope is -x and the y-intercept is -4.
Since the slope has to be equal to the original function, and we're given the point (-3,1) we may:\[y=-x+b \rightarrow 1=-(-3)+b \rightarrow 1=3+b\]\[-2=b\]
Plug that in now into y=mx+b.
y=-x-2
b

Answer 3

Thanks alot (: