SOLUTION: Solve by Graphing: y=2x-4 with y=-3x+1 just below. Can you please explain how the answer was brought about? Thank you. -Leona

Question 212753: Solve by Graphing: y=2x-4 with y=-3x+1 just below.
Can you please explain how the answer was brought about? Thank you. -Leona
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
To graph these linear equations, you need plot only two points for each graph.
These two points are called the x- and y-intercepts and are found by setting x = 0 then solving for y and setting y = 0 then solving for x:
For the first equation:
Set x = 0.

The first point is (0, -4)
set y = 0.
Add 4 to both sides of the equation.
Now divide both sides by 2.

The second point is (2, 0)
Plot these two points on your coordinate graph paper on which you have previously drawn the x-axis (horizontal) and the y-axis (vertical), then draw a straight line through the two points.
Similarly for the second equation, the two points are:
(0, 1) and (1/3, 0)
The graph should look like this:

The point at which the two lines intersect (1, -2) is called the "solution".
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