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 = (yd - yc)/(xd - xc)`

`m = ( - 2 - 2)/( - 4 -1)`

`m = (4)/(5)`

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


`(yb - ya)/(xb - xa) = (4)/(5)`

`( - 1 - y)/(6 - 1) = (4)/(5)`

`( - 1 - y)/(5) = (4)/(5)`

Simplify by 5 by both sides:


`- 1 - y = 4`

`- y = 5`

`y = - 5`