Graphing Lines Using Slope and Y-Intercept Worksheet I - Practice plotting linear equations on coordinate planes.

I'll help you graph these linear equations using slope and y-intercept. Let me work through each problem step by step.

For each equation in the form y = mx + b:
- b is the y-intercept (where the line crosses the y-axis)
- m is the slope (rise over run)

Let me solve each one:

1) y = 2x
- Y-intercept: b = 0, so start at (0, 0)
- Slope: m = 2 = 2/1, so rise 2, run 1
- From (0, 0), go up 2, right 1 to get point (1, 2)
- Draw line through these points

2) y = -5x
- Y-intercept: b = 0, so start at (0, 0)
- Slope: m = -5 = -5/1, so down 5, right 1
- From (0, 0), go down 5, right 1 to get point (1, -5)
- Draw line through these points

3) y = (2/5)x
- Y-intercept: b = 0, so start at (0, 0)
- Slope: m = 2/5, so rise 2, run 5
- From (0, 0), go up 2, right 5 to get point (5, 2)
- Draw line through these points

4) y = x + 2
- Y-intercept: b = 2, so start at (0, 2)
- Slope: m = 1 = 1/1, so rise 1, run 1
- From (0, 2), go up 1, right 1 to get point (1, 3)
- Draw line through these points

5) y = x - 3
- Y-intercept: b = -3, so start at (0, -3)
- Slope: m = 1 = 1/1, so rise 1, run 1
- From (0, -3), go up 1, right 1 to get point (1, -2)
- Draw line through these points

6) y = 2x - 1
- Y-intercept: b = -1, so start at (0, -1)
- Slope: m = 2 = 2/1, so rise 2, run 1
- From (0, -1), go up 2, right 1 to get point (1, 1)
- Draw line through these points

7) y = -4x + 1
- Y-intercept: b = 1, so start at (0, 1)
- Slope: m = -4 = -4/1, so down 4, right 1
- From (0, 1), go down 4, right 1 to get point (1, -3)
- Draw line through these points

8) y = (1/2)x - 2
- Y-intercept: b = -2, so start at (0, -2)
- Slope: m = 1/2, so rise 1, run 2
- From (0, -2), go up 1, right 2 to get point (2, -1)
- Draw line through these points

9) y = -(5/2)x + 3
- Y-intercept: b = 3, so start at (0, 3)
- Slope: m = -5/2, so down 5, right 2
- From (0, 3), go down 5, right 2 to get point (2, -2)
- Draw line through these points

---

Final Answer:

To graph each line:

1) y = 2x: Start at (0, 0), then plot (1, 2). Draw line through both points.

2) y = -5x: Start at (0, 0), then plot (1, -5). Draw line through both points.

3) y = (2/5)x: Start at (0, 0), then plot (5, 2). Draw line through both points.

4) y = x + 2: Start at (0, 2), then plot (1, 3). Draw line through both points.

5) y = x - 3: Start at (0, -3), then plot (1, -2). Draw line through both points.

6) y = 2x - 1: Start at (0, -1), then plot (1, 1). Draw line through both points.

7) y = -4x + 1: Start at (0, 1), then plot (1, -3). Draw line through both points.

8) y = (1/2)x - 2: Start at (0, -2), then plot (2, -1). Draw line through both points.

9) y = -(5/2)x + 3: Start at (0, 3), then plot (2, -2). Draw line through both points.