Question

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

Answer 1

y = -2x + 2
In y = mx + b form, the m is the slope.
So the slope of this line is -2.

A parallel line will have the same slope.

y = mx + b
m = -2
(4,5) x = 4 and y = 5
now we sub
5 = -2(4) + b
5 = -8 + b
5 + 8 = b
13 = b

your parallel equation is : y = -2x + 13