Graphing Linear Equations
Printable algebra practice for finding slope, building tables, graphing y=mx+b, and modeling real situations.
Find Slope from a Graph
Use the two labeled points to find rise, run, and slope.
Slope Formula
slope = rise / run
rise = change in y
run = change in x
1. What are the coordinates of point A?
2. What are the coordinates of point B?
3. What is the rise from A to B?
4. What is the run from A to B?
5. What is the slope?
Make a Table and Graph
Use y = 2x + 1 to complete the table. Then plot the points on the grid.
y = 2x + 1
| x | y | Point |
|---|---|---|
| -2 | ||
| -1 | ||
| 0 | ||
| 1 | ||
| 2 |
1. Which point is the y-intercept?
2. How much does y change when x increases by 1?
3. Is the line rising or falling from left to right?
Graph Equations in y=mx+b Form
Find the y-intercept first. Use the slope to mark another point, then draw the line.
1. What is the y-intercept?
2. What is the slope?
3. Name one more point on the line.
1. What is the y-intercept?
2. What is the slope?
3. Name one more point on the line.
1. What is the y-intercept?
2. What is the slope?
3. Name one more point on the line.
Write and Graph a Linear Equation
A school fair booth charges 4 tickets to play, plus 3 tickets for each prize won.
y = 3x + 4
| Prizes | Tickets | Point |
|---|---|---|
| 0 | 4 | (0, 4) |
| 1 | 7 | (1, 7) |
| 2 | 10 | (2, 10) |
| 3 | 13 | (3, 13) |
1. What does the 4 mean in the equation?
2. What does the 3 mean in the equation?
3. How many tickets are needed for 5 prizes?
4. Write the ordered pair for 2 prizes.