Equation of a line: slope-intercept form
Objectives
Student will be able to:
write an equation in slope-intercept form when given the slope and
y
-intercept of a line.
write an equation in slope-intercept form when given the graph of an equation.
write an equation in slope-intercept form when given the slope and one point on a line.
Introduction
The equation of a line in slope-intercept form is
m
is the slope
b
is the
y
-intercept
To find the value of the slope
m
for the line on the graph below, select two points on the line and use the slope formula or
Select two points on the line:
Use the slope formula:
Exercises
Write the equation of each line using slope-intercept form. Show all work.
1.
Write the equation of the line shown on the graph.
Check student's work.
1
.
Correct
Incorrect
Not Assigned
2.
Write the equation of a line with a slope of –2 and a
y
-intercept of 4.
Check student's work.
2
.
Correct
Incorrect
Not Assigned
3.
Write the equation of this line.
;
Check student's work.
3
.
Correct
Incorrect
Not Assigned
4.
Write the equation of the line on the graph.
Check student's work.
4
.
Correct
Incorrect
Not Assigned
5.
Write the equation of this line.
;
Check student's work.
5
.
Correct
Incorrect
Not Assigned
6.
Write the equation of the line with the given
y
-intercept and slope.
;
Check student's work.
6
.
Correct
Incorrect
Not Assigned
7.
Write the equation of a vertical line passing through the point (4,–6).
Check student's work.
7
.
Correct
Incorrect
Not Assigned
8.
Write the equation of a line with a
y
-intercept of 3 and a slope of
Check student's work.
8
.
Correct
Incorrect
Not Assigned
9.
Write the equation of the line on the graph.
Check student's work.
9
.
Correct
Incorrect
Not Assigned
10.
Write the equation of this line.
The
y
-intercept is –4 and the slope is
–3.
Check student's work.
10
.
Correct
Incorrect
Not Assigned