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

Answer:

Part A: -3/7

Part B: y = -2

Step-by-step 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

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-1}{-5-2} = \frac{3}{-7}$

Use the same formula and solve for y.

$m = \frac{y_2-y_1}{x_2-x_1}\\\\-\frac{3}{7}= \frac{y--5}{-6-1} \\\\\frac{3}{-7} =\frac{y+5}{-7}\\\\3 = y+5\\3-5 = y\\-2 = y$