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

Algebra ->  Graphs -> 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      Log On


   

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) About Me  (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:
y+=+2x-4 Set x = 0.
y+=+2%280%29-4
y+=+-4
The first point is (0, -4)
y+=+2x-4 set y = 0.
0+=+2x-4 Add 4 to both sides of the equation.
4+=+2x Now divide both sides by 2.
2+=+x
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:
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x-4%2C-3x%2B1%29
The point at which the two lines intersect (1, -2) is called the "solution".