Chapter 4 Graphing And Writing Linear Equations - Section 4.7 Writing Equations In Point-Slope Form Worksheet Page 3
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1
2
3
4
5
6Lesson
4.7
Lesson Tutorials
Key Vocabulary
point-slope form,
Point-Slope Form
p. 186
A linear equation written in the form y − y
= m(x − x
)
Words
1
1
is in point-slope form. The line passes through the point
(x
, y
), and the slope of the line is m.
1
1
y
slope
(x, y)
y
y
y −
= m(x −
x
)
y
Algebra
1
1
1
(x
, y
)
1
1
x
x
passes through (x
, y
)
1
1
1
O
x
1 1
Writing an Equation Using a Slope and a Point
EXAMPLE
Write in point-slope form an equation of the line that passes through
2
—
the point (−6, 1) with slope
.
3
y −
= m(x −
y
x
)
Write the point-slope form.
1
1
2
2
y −
=
[x −
for m, − 6 for x
—
1
(−
6)]
Substitute
—
, and 1 for y
.
1
1
3
3
2
y − 1 =
(x + 6)
—
Simplify.
3
2
So, the equation is y − 1 =
(x + 6).
—
3
Check
Check that (− 6, 1) is a solution of the equation.
2
y − 1 =
(x + 6)
—
Write the equation.
3
?
2
− 1 =
+ 6)
—
1
(− 6
Substitute.
3
✓
0 = 0
Simplify.
Write in point-slope form an equation of the line that passes through
the given point and has the given slope.
Exercises 6 – 11
3
1. (1, 2); m = − 4
2. (7, 0); m = 1
3. (− 8, − 5); m = −
—
4
186
Chapter 4
Graphing and Writing Linear Equations
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