Please any one help me how can I calculate m
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Answer:
Step-by-step explanation:
a) Parallel lines have same slope. Compare the slopes of the two lines and we can find m
Write in y =mx + c form
D1 : -4x + y + 2 = 0
y = 4x -2
So, m = 4
D2: (1 + m)x + my - 5 = 0
my = -(1 + m)x + 5
y = [tex]\frac{-(1 + m)}{m}x+\frac{5}{m}[/tex]
slope = (-1 +m)/m
[tex]\frac{-(1+m)}{m}=4\\\\[/tex]
Cross multiply,
-1 - m = 4m {Add 'm' to both sides }
-1 = 4m + m
-1 = 5m
5m = -1 {Divide both sides by 5}
m = -1/5