Slope - Intercept And Point-Slope Forms Of The Line Worksheet With Answers - Hfcc Math Lab Page 2

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B.
1. Find the equation of the line with y-intercept 6 and passing through the point
(1, 4).
First, we need to find the slope of the line, m:
The line passes through the points (0, 6) and (1, 4). We can use the slope formula
y
y
2
1
m
where ( , ) (0, 6) and (x ,
x y
y
) (1, 4)
1
1
2
2
x
x
2
1
6 4
m
2
0 1
Therefore, m = -2 and b = 6
y = mx + b
y = -2x + 6.
2.
Find the equation of the line with y-intercept -3 and passing through the point
(4. -3).
First, we need to find the slope of the line, m:
y
y
3 ( 3)
0
2
1
m
= 0 where ( , ) (4, 3) & ( ,
x y
x y
) (0, 3)
1
1
2
2
x
x
0 4
4
2
1
Therefore, m = 0 and b = -3
y = mx + b
y = 0x + -3 or y = -3.
II.
EQUATION OF HORIZONTAL LINE: The slope of a horizontal line is zero.
The equation of a horizontal line through a point (
( , ) is
x y
y
y .
1
1
1
Examples:
1.
Find the equation of the horizontal line passing through the point ( -2, -5).
y = -5
2.
Find the equation of the line having slope of 0 and y-intercept of 9.
Slope of 0 implies the line is horizontal.
( , ) (0,9)
x y
so the equation is y = 9.
1
1
3.
Find the equation of the line passing through the points (2, 5) and (-2, 5).
The slope of the line is
y
y
5 5
0
2
1
m
= 0 where ( , ) (2,5) & ( ,
x y
x y
) ( 1,5)
1
1
2
2
x
x
1 2
3
2
1
Therefore, the line is horizontal and has an equation y = 5.
Revised 11/09
2

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