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Both of these are straight line equations. So just find two points on the line, and connect with a straight edge.

  • The first one: y = -3x + 4. Let y=0, and solve for x = -4/3, so the point (-4/3,0) is on the line.
  • Let x=0 and solve for y = 4, so (0,4) is on the line. Connect those two points.

Do the same for the second line. Connect points (2/3,0) & (0,-2).

It looks like these two lines intersect at the point (1,1) on the graph. Plug in x=1 and y=1 and check if it satisfies both equations, and yes it does.

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Q: How do you graph y equals -3x plus 4 with y equals 3x-2?
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