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Find the point of intersection of these 2 lines : y= 2x+9 and Y=4x + 5

User Mark Suman
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1 Answer

1 vote
Graphing will quickly find the point of intersection, but if you are unable to use a graph you can set the two equations equal to each other and solve for x.

4x + 5 = 2x + 9
Isolate x to one side by subtracting 5 and 2x from both sides.

2x = 4
Divide 2 from both sides.

x = 2
The lines will intersect when x = 2. Plug this x value into either of the original equations to get the y value of the point of intersection.

y = 2(2) + 9
The point of intersection is at (2, 13).

User Jakub Marchwicki
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7.9k points