Chapter 5 Writing Linear Equations - 5.2 Point-Slope Form Worksheet Page 2
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Write an Equation in Point-Slope Form
2
EXAMPLE
Student Help
S
T
Write in point-slope form the equation of the line that passes through the point
TUDY
IP
The point-slope form
(1,
5) with slope 3.
y
y
m(x
x
)
1
1
has two minus signs.
the point-slope form.
y
y
m(x
x
)
Write
1
1
Be sure to account for
.
1 for x
,
5 for y
, and 3 for m
y
( 5)
3(x
1)
Substitute
these signs when the
1
1
point (x
, y
) has
1
1
the equation.
y
5
3(x
1)
Simplify
negative coordinates.
The equation in point-slope form of the line is y
5
3(x
1).
ANSWER
Write an Equation in Point-Slope Form
4.
Write in point-slope form the equation of the line that passes through the
1
point (2, 2) with slope
.
2
Use Point-Slope Form
3
EXAMPLE
Write in slope-intercept form the equation of the line that passes through the
point ( 3, 7) with slope
2.
Solution
Student Help
the point-slope form.
y
y
m(x
x
)
Write
S
T
TUDY
IP
1
1
Notice that the equation
2 for m,
3 for x
, and 7 for y
.
y
7
2[x
( 3)]
Substitute
in Step 3 of Example 3
1
1
is in point-slope form.
the equation.
y
7
2(x
3)
Simplify
Steps 4 and 5 convert
the equation to slope-
the
2.
y
7
2x
6
Distribute
intercept form.
7 to each side.
y
2x
1
Add
The equation of the line in slope-intercept form is y
2x
1.
ANSWER
In general, you can use
CHECK
y
a graph to check whether your
1
7
answer is reasonable.
( 3, 7)
2
In the graph at the right, notice
5
that the line y
2x
1 has a
slope of
2 and passes through
3
y
2x
1
the point ( 3, 7).
1
5
3
x
1
Use Point-Slope Form
Write in slope-intercept form the equation of the line that passes through the
5.
point (2, 4) with slope 3. Check your answer by graphing.
5.2 Point-Slope Form
279
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