Point of Intersection
Find the coordinates of the point of intersection of the following two linear equations:
y = 3x + 2
y = -2x + 6
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For them to intersect, they have to be equal, so we can simply just say:
ReplyDelete3x+2 = -2x+6
5x+2=6
5x=4
x=4/5
4/5 is the x coordinate so to find the y coordinate we need to substitute 4/5 into one of the equations. Lets use the first equation.
y = 4/5 * 3 + 2
y = 2.4 + 2 = 4.4
From this, we get the coordinates (0.8, 4.4)