Example Problem:

Graph the linear equation: 2x + y = 2

Step 1: Plug in x = 0 and solve for y.

2 (0) + y = 2
y = 2

Step 2: Plug in y = 0 and solve for x.

2x + 0 = 2
2x = 2
x = 1

Step 3: Graph the x and y intercept points (0, 2) and (1,0)

Step 4: Draw a straight line through the two points

Step 5: Check the answer.

We will put in 2 for x and solve:

2(2) + y = 2
4 + y = 2
y = 2 – 4
y=-2

Is the point (2,-2) on the line?

You can try some other points to double check as well.