The equation of line EF is y = x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, -2).

A.y = -2x - 2
B. y = x - 2
C. y = x - 2
D. y = 2x - 2

Question

The equation of line EF is y =  x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, -2).

	A.y = -2x - 2
	B. y =  x - 2
	C. y =  x - 2
	D. y = 2x - 2

solomonzelman · Answer

Ok, so what's going to change/differ in the line parallel to EF, is the y-intercept, but the slope will remain the same.

solomonzelman · Answer

y=x+b
we know that slope is still one, but what is the intercept?
Plug in your point, (0,-2) to find b.
-2=(0)+b
-2=b

So,  y=x-2
is the equation of a line parallel to EF, that passes through the point (0,-2)