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5.1
Goal
Use slope-intercept form
to write an equation of a
line.
Slope-Intercept Form
How have Olympic hurdling times decreased?
A graph can describe a trend, such as the decrease in Olympic men’s winning
hurdling times. In Exercise 40 you will write the equation of the line that models
this trend.
Key Words
• slope
• y-intercept
• slope-intercept form
You can write an equation of a line if you know the slope and the y-intercept.
SLOPE-INTERCEPT FORM
The slope-intercept form of the equation of a line with slope m
and y-intercept b is
y mx b
EXAMPLE
1
Equation of a Line
Write the equation of the line whose slope is 3 and whose y-intercept is 4.
Solution
Write the slope-intercept form.
y mx b
Substitute slope 3 for m and 4 for b.
y 3x (4)
Simplify the equation.
y 3x 4
ANSWER 䊳
The equation of the line is y 3x 4.
Equation of a Line
Write the equation of the line described below.
1. The slope is 2 and the y-intercept is 7.
2
2. The slope is and the y-intercept is 6.
5
5.1
Slope-Intercept Form
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