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

Intermediate Algebra – 1
HFCC Math Lab
SLOPE – INTERCEPT AND POINT-SLOPE FORMS OF THE LINE
THE EQUATION OF A LINE
Goal I.
Use the slope-intercept form of the line to write the equation of a non-vertical line
A. given its y-intercept and slope
B. given its y-intercept and another point on the line
Goal II. Write the equation of a horizontal line through a given point.
Goal III. Use the point-slope form of the line to write the equation of a non vertical line
A. given its slope and a point on the line
B. given two points on the line
Goal IV. Write the equation of a vertical line through a given point.
Goal V.
Given the equation of a line, find the slope and the y-intercept.
TERMINOLOGY
m = slope of the line
b = the y-intercept (where the line crosses the y-axis)
( , ), ( ,
x y
x y
)
two given points on the line ( may be the intercept points)
1
1
2
2
I.
SLOPE-INTERCEPT FORM OF A LINE: The equation of the line with slope m
and y-intercept b is given by y = mx + b
Examples:
A.
1. Find the equation of the line with slope 5 and y-intercept 7.
m = 5, b = 7; y = mx + b
Therefore, y = 5x + 7 is the equation of the line.
2
2.
Find the equation of the line with slope
and y-intercept 0.
3
2
m =
, b = 0; y = mx + b
3
Therefore,
2
y
x
0
3
2
y
x
is the equation of the line.
3
Revised 11/09
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