Answer:
A)
6x - y = 8
3x + 2y = 9
(Graph is attached for you⤴⤴⤴)
Step-by-step explanation:
Line m ordered pairs = (-4,-32), (2,4),
(5, 22)
Line n ordered pairs = (-5,12), (1,3), (5,-3)
Use this formula⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
For line m, we'll use (2,4) and (5,22):
22 - 4 = 18
5 - 2 = 3
18 ÷ 3 = 6
Slope of line m = 6
For line n, we'll use (1,3) and (5,-3):
-3 - 3 = -6
5 - 1 = 4
Slope of line n = -6/4 or -3/2
We'll turn all the options to slope-intercept form, so we can tell which has the slopes we need.
A) - Subtract 6x on both sides to get
-y = -6x + 8, then flip all the signs to get y = 6x - 8.
- Subtract 3x on both sides to get 2y = -3x + 9, then divide 2 on both sides to get y = -3/2 x + 9/2.
B)
- Subtract 6x on both sides to get
y = -6x - 8.
- Subtract 3x on both sides to get
-2y = -3x + 9, then divide -2 on both sides to get y = -3/2 x - 9/2.
C)
- Add 6x on both sides to get -y = 6x - 8, then flip all signs to get y = -6x + 8.
- Add 3x on both sides to get 2y = 3x + 9, then divide 2 on both sides to get
y = 3/2 x + 9/2.
D)
- Subtract 6x on both sides to get
-y = -6x - 8, then flip all signs to get
y = 6x + 8.
- Add 3x on both sides to get -2y = 3x + 9, then divide -2 on both sides to get
y = -3/2 x - 9/2.
Hope this helps :)
