Chapter 7 7.1 Slope-Intercept Form Worksheet - Mhr Page 4
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17Example 1
Write the Equation of a Line in Slope-Intercept Form
What are the slope
a)
y
and y-intercept of the line
4
shown in the graph?
Write the equation of the
b)
2
line in slope-intercept form,
y = mx + b.
x
0
2
4
-4
-2
Use graphing technology to
c)
check your equation.
-2
-4
Solution
The y-intercept is 1. Therefore, b = 1.
a)
What do you
know about the
Using the points (0, 1) and (3, -1), the slope is
slope if the line
_
m = rise
falls from left
run
to right?
__
y
- y
2
1
m =
x
- x
2
1
__
1
-1
-
m =
3
0
-
_
m = - 2
How else could you
3
determine the slope?
_
The slope is - 2
and the y-intercept is 1.
3
Substitute the values of m and b into the slope-intercept form of
b)
an equation.
y = mx + b
_
- 2
y =
x +
1
3
_
The equation of the line in slope-intercept form is y = - 2
x + 1.
3
Create the graph using technology.
c)
How can you confi rm
that this is the
equation of the line
that passes through
the points (0, 1) and
(3, -1)?
343
7.1 Slope-Intercept Form • MHR
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