You can put this solution on YOUR website! ONE WAY TO DO IT:

To graph a linear equation you just need 2 points.

You can calculate the y-coordinate for 2 values of x,

plot the points, and connect them with a line.

I could pick and .

For –> gives point (0,-2)

For –> –> gives point (5,1)

ANOTHER WAY:

You may be used to equations like y=2x+1,

where you knew the y-intercept is 1,

and that gave you the point with y=1 on the y-axis (where x=0).

Then you would notice that the slope is 2,

and would plot points for x=1, x=2, x=3, increasing the y-coordinate by 2 each time.

Slopes can be positive, or negative; they can be fractions too.

A slope of means that for a “run” of (as x increases by 5)

the “rise” is (the change in y is 3, y increases/rises by 3).

So for ,

from the point you would mark with y=-2 on the y-axis,

you move 5 units to the right and 3 units up top mark the next point.

Then you can repeat the same moves to mark more points,

and you can reverse them (5 left, 3 down) to go in the other direction.