Question

URGENT HELP!!! 25PTS

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:

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