1. Slope-Intercept Form What are the slope and y-intercept of y = 2x – 3?
ALGEBRA 1 LESSON 6-2
What are the slope and y-intercept of y = 2x – 3?
m x + b =
2 x – 3
Use the Slope-Intercept form.
The slope is 2; the y-intercept is –3.
6-2

2. Slope-Intercept Form Write an equation of the line with slope and
ALGEBRA 1 LESSON 6-2 2 5
Write an equation of the line with slope and
y-intercept 4. 2 5
Use the slope-intercept form.
Substitute for m and 4 for b.
y = mx + b
y = x + 4
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3. Slope-Intercept Form Write an equation for the line.
ALGEBRA 1 LESSON 6-2
Write an equation for the line.
Step 1 Find the slope. Two points on the line are (0, 1) and (3, –1).
–1 – 1
3 – 0
slope =
= – 2 3 2 3
y = m x + b
y = – x + 1
Substitute – for m and 1 for b.
Step 2 Write an equation in slope–
intercept form. The y-intercept is 1.
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4. Slope-Intercept Form Graph y = x – 2. Step 1 The y-intercept is –2.
ALGEBRA 1 LESSON 6-2
Graph y = x – 2. 1 3
Step 1
The y-intercept is –2.
So plot a point at (0,–2).
Step 2
The slope is Use slope to plot a second point. 1 3
Step 3
Draw a line through
the two points.
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5. Slope-Intercept Form
ALGEBRA 1 LESSON 6-2
The base pay for a used car salesperson is $300 per week.
The salesperson also earns 15% commission on sales made.
The equation t = s relates total earnings t to sales s. Graph the equations.
Step 1  Identify the slope and y-intercept.
t = s
t = 0.15 s + 300  Rewrite the equation in slope intercept form.
slope y-intercept
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6. Slope-Intercept Form
ALGEBRA 1 LESSON 6-2
(continued)
Step 2  Plot two points. First plot a point at the y-intercept. Then use the slope to plot a second point. The slope is 0.15, which equals Plot a second point 15 units above and 100 units to the right of the y-intercept. 15
100
Step 3  Draw a line through the points.
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7. Slope-Intercept Form Find the slope and y-intercept of each equation.
ALGEBRA 1 LESSON 6-2
Find the slope and y-intercept of each equation.
1. y = x – 3
2. y = –2x
Write an equation of a line with the given slope and y-intercept.
3. m = – , b = –4
4. m = 0.5, b = 1 3 4 5
5. Write an equation for the line.
m = ; b = –3 3 4
y = x – 3 1 2
m = –2; b = 0
y = – x – 4 3 5
6. Graph y = –x + 3.
y = 0.5 x + 1
6-2