Question

URGENT HELP!!! 25PTS
Consider two parallel line segments.

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

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

Answer 1

Part A:
C(1,2)
D(-4,-2)
$m = \frac{yd - yc}{xd - xc}$
$m = \frac{ - 2 - 2}{ - 4 -1}$
$m = \frac{4}{5}$

Part B:
A(1,y)
B(6,-1)
If a line is parallel to another line, it has the same slope; then:

$\frac{yb - ya}{xb - xa} = \frac{4}{5}$
$\frac{ - 1 - y}{6 - 1} = \frac{4}{5}$
$\frac{ - 1 - y}{5} = \frac{4}{5}$

Simplify by 5 by both sides:

$- 1 - y = 4$
$- y = 5$
$y = - 5$