Slope - Intercept And Point-Slope Forms Of The Line Worksheet With Answers - Hfcc Math Lab Page 3

ADVERTISEMENT

III.
POINT-SLOPE FORM OF A LINE: The equation of the line with slope m and
passing through the point
( , ) is given by the equation
x y
y y
m x x .
(
)
1
1
1
1
Examples:
A. 1. Find the equation of the line with slope -6 and passing through the point (2, 5).
m
6; ( , ) (2,5)
x y
1
1
y y
m x x
(
)
1
1
y
5
6(
x
2)
[You can rewrite the equation in slope-intercept form by solving for y]
y
- 5 -6
x
12
y
5 5
6
x
12 5
y
6
x
17.
2. Find the equation of the line with slope 2 and passing through the point (-3, -1).
m
2; ( , ) ( 3, 1)
x y
1
1
y y
m x x
(
)
1
1
y
( 1) 2(
x
( 3)) or
y
1 2(
x
3)
[You can rewrite the equation in slope-intercept form by solving for y]
y
1 2
x
6
y
1 31 2
x
6 1
y
2
x
5.
B. 1. Find the equation of the line passing through the point (6, 3) and (-2, 7)
First, we need to find the slope m:
y
y
7 3
4
1
2
1
m
= -
where ( , ) (6,3) & ( ,
x y
x y
) ( 2, 7)
1
1
2
2
x
x
2 6
8
2
2
1
1
m
; ( , ) (6,3)
x y
1
1
2
y y
m x x
(
)
1
1
1
y
3
(
x
6)
2
-1
or
y
x
6 in slope-intercept form.
2
Revised 11/09
3

ADVERTISEMENT

00 votes

Related Articles

Related forms

Related Categories

Parent category: Education
Go
Page of 8