Question

The equation of line EF is y = 1 over 2x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, −2).

Answer 1

y = 1/2x + 6
can you tell me the slope of this line ?

Answer 2

In y = mx + b form, the slope is in the m position. So in y = 1/2x + 6, the number in the m position is 1/2, and that is your slope.
Parallel lines will have the same slope.

y = mx + b
slope(m) = 1/2
(0,-2) x = 0 and y = -2
now sub and solve for b
-2 = 1/2(0) + b
-2 = b
Therefore, your parallel equation is : y = 1/2x - 2