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).
a. y=-2x+13
b. y=-1/2 x + 7
c. y=-1/2x+3
d. y=2x-3

You are looking for a parallel line to equations y= -2x-2. The slope of this equation is -2 (m = -2). We can eliminate answers B. and C because of the slopes. Next we will find the y-intercept, or the B.
Using y = mx + b, and substituting the given point (4, 5) into the equation we have 5 = m(4) + b. Next we will substitute the needed slope, -2 in for "m" which will look like this: 5 = -2(4) + b. Simplify to 5 = -8 +b;
                                                                          +8    +8
after adding 8 to both sides, you will get 13 = b.
In our answer choices we need to find one that has 13 as the b, and -2 as them. Letter A. is your answer.