1. Graph the equation y = x + 3. 2
Example 2
Graphing Using Slope-Intercept Form 1
Graph the equation y = x + 3. 2
SOLUTION
STEP 1
Use the y-intercept, 3, to plot the point (0, 3). 2 1
STEP 2
Use the slope, , to plot a second point by moving up 1 unit and right 2 units.
STEP 3 Draw a line through the points.

2. What is an equation of the line shown in the graph at the right?
Example 3
Multiple Choice Practice
What is an equation of the line shown in the graph at
the right?
y = – x + 6
y = 6x – 1
y = x + 6
y = 4x + 6

3. STEP 1 Find the slope m using the labeled points.
Example 3
Multiple Choice Practice
SOLUTION
STEP 1 Find the slope m using the labeled points. = m 4 6 2 – 1
STEP 2 Find the y-intercept b. The line crosses the
y-axis at (0, 6), so b = 6.
STEP 3 Write an equation of the form y = mx + b.
y = – x + 6
ANSWER
The correct answer is A.

4. Use the slope and y-intercept to graph the equation.
Guided Practice
for Examples 2 and 3
Use the slope and y-intercept to graph the equation.
4. y = 2x + 5
ANSWER

5. Use the slope and y-intercept to graph the equation.
Guided Practice
for Examples 2 and 3
Use the slope and y-intercept to graph the equation.
5. y = 7x
ANSWER

6. Use the slope and y-intercept to graph the equation.
Guided Practice
for Examples 2 and 3
Use the slope and y-intercept to graph the equation.
6. – x + y = 6
ANSWER

7. Write an equation of the line passing through the given points.
Guided Practice
for Examples 2 and 3
Write an equation of the line passing through the given
points.
7. (0, 2) and (2, 8)
ANSWER
y = 3x + 2
ANSWER
y = – x 5 4
8. (0, 0) and ( 5, 4) –
9. (1, 4) and (0, –8)
ANSWER
y = 12x – 8