The graphs of 3x + 9y = 15 and y = mx – 4 are parallel lines. What is the value of m?
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Answer:
Step-by-step explanation:
Given equations:
y = x + 3
y = -x - 1
By comparing the above equations, we get:
x + 3 = -x - 1
Add x to both sides
<h3>x + x + 3 = -1 </h3><h3>2x + 3 = -1</h3>Subtract 3 to both sides
2x = -1 - 3
2x = -4
Divide 2 to both sides
x = -4/2
<h3>x = -2</h3>Substitute x = -2 in first equation.
y = x + 3
y = -2 + 3
<h3>y = 1</h3>So,
<h3>Solution Set = {(x,y)}={(-2,1)}</h3>