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...the slope here is -2. A parallel line will have the same slope.

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

so ur parallel equation is : y = 2x + 13