Question

Consider two parallel line segments.

Part A: Find the slope of segment CD with endpoints C(−5, 4) and D(2, 1). Show your work. (2 points)

Part B: What is the value of y so that segment AB with endpoints A(−6, y) and B(1, −5) is parallel to segment CD question mark Show your work. (2 points)

Answer 1

Part A: -3/7

Part B: y = -2

Explanation:

Parallel lines have the same slope. Find the slope of CD. Then substitute it to find the value needed for AB.

The slope formula is

`m = (y_2-y_1)/(x_2-x_1) = (4-1)/(-5-2) = (3)/(-7)`

Use the same formula and solve for y.

`m = (y_2-y_1)/(x_2-x_1)\\\\-(3)/(7)= (y--5)/(-6-1) \\\\(3)/(-7) =(y+5)/(-7)\\\\3 = y+5\\3-5 = y\\-2 = y`