# Chapter 5 Writing Linear Equations - 5.2 Point-Slope Form Worksheet

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5.2
5.2
Point-Slope Form
How much pressure is on a diver?
Goal
Use point-slope form to
As you saw in Developing
write the equation of a
Concepts 5.2, page 276, you
line.
can write an equation of a line
given the slope and a point on the
Key Words
line. In Exercise 44 you will write
• slope
an equation that models the
• point-slope form
pressure on a diver.
POINT-SLOPE FORM
POINT-SLOPE FORM
The point-slope form of the equation of the line through (x
, y
)
1
1
with slope m is y
y
m(x
x
).
1
1
Point-Slope Form from a Graph
EXAMPLE
1
Write the equation of the line in the
y
5
graph in point-slope form.
2
Student Help
3
Solution
(1, 2)
3
Use the given point (1, 2). From the
S
T
TUDY
IP
Remember that you
2
graph, find m
.
can calculate slope as
1
3
5
x
3
r
i
s
e
m
.
r
u
n
y
y
m(x
x
)
Write point-slope form.
1
1
2
2
y
2
(x
1)
Substitute
for m, 1 for x
, and 2 for y
.
3
1
1
3
2
The equation y
2
(x
1) is written in point-slope form.
3
Point-Slope Form from a Graph
Write the equation of the line in point-slope form.
1.
2.
3.
y
y
y
3
1
1
1
3
( 3, 1)
2
(3, 2)
2
1
–1
5
x
2 2
x
(0, 0)
1
1
3
5
x
278
Chapter 5 Writing Linear Equations