SOLUTION: If two lines have the equations y = 3x + 1 and y = 2x + b, find the value of b if the intersection point is at x = 1. If two lines have the equations y = mx - 4 and y = -2x

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Question 1106720: If two lines have the equations y = 3x + 1 and y = 2x + b, find the value of b if the intersection point is at x = 1.
If two lines have the equations y = mx - 4 and y = -2x - 3, find the value of m if the
intersection point is at x = -1.
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
1) we can use the equation y = 3x + 1 to find the y coordinate of the intersection point
y = 3(1) + 1
y = 4
then use equation y = 2x + b to find the value of b
4 = 2(1) + b
b = 2
here is the graph of y = 3x + 1(red line), y = 2x + 2(green line

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2) use y = -2x - 3 to find the y coordinate of the intersection point
y = -2(-1) - 3 = -1
then use y = mx - 4 to find the value of m
-1 = m(-1) - 4
-m = 3
m = -3
here is the graph of y = -2x - 3(red line), y = -3x - 4(green line

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SOLUTION: If two lines have the equations y = 3x + 1 and y = 2x + b, find the value of b if the intersection point is at x = 1. If two lines have the equations y = mx - 4 and y = -2x - 3