Question 212753
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(0)-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(400,400,-5,5,-5,5,2x-4,-3x+1)}}}
The point at which the two lines intersect (1, -2) is called the "solution".