Worksheet for graphing linear equations on a coordinate plane.

To graph each linear equation, identify the slope and y-intercept (for equations in slope-intercept form, y = mx + b), or find two points that satisfy the equation. Plot these points on the coordinate plane and draw a straight line through them.

1) y = 2x - 3
- Y-intercept: (0, -3)
- Slope: 2 (rise 2, run 1)
- Another point: from (0, -3), move up 2 and right 1 to (1, -1)

2) y = -3x + 2
- Y-intercept: (0, 2)
- Slope: -3 (rise -3, run 1)
- Another point: from (0, 2), move down 3 and right 1 to (1, -1)

3) y = (1/2)x - 5
- Y-intercept: (0, -5)
- Slope: 1/2 (rise 1, run 2)
- Another point: from (0, -5), move up 1 and right 2 to (2, -4)

4) y = -(2/3)x + 4
- Y-intercept: (0, 4)
- Slope: -2/3 (rise -2, run 3)
- Another point: from (0, 4), move down 2 and right 3 to (3, 2)

5) x + y = 4
- Rewrite as y = -x + 4
- Y-intercept: (0, 4)
- Slope: -1 (rise -1, run 1)
- Another point: from (0, 4), move down 1 and right 1 to (1, 3)

6) y = 3
- This is a horizontal line.
- Every point has a y-coordinate of 3.
- Plot points such as (0, 3), (1, 3), (-1, 3) and draw a horizontal line through them.