1. Objective- To use slope and y-intercept to
graph lines.
Graph the line which passes through (-2, 1) and has a
slope of -3. x y
Steps
1) Plot the point.
2) Write slope as fraction
and count off other points. -3
m = -3 = 1 -3 3
or m = -1 +1
3) Draw line through points.

2. -3 -4 Graph the line which passes through (3, 2) and has a slope of .x y +4
Steps
1) Plot the point. +3
2) Write slope as fraction
and count off other points. 3
m = 4 -3
or m = -4
3) Draw line through points.

3. -3 -3 -3 Graph the line which passes through (-5, 4) and has a
slope of -3 2 x y
Steps
1) Plot the point. -3
2) Write slope as fraction
and count off other points. -3 +2
m = 2
3) Draw line through points.

4. Any linear equation which is solved for y is in
Slope-Intercept Form of the Linear Equation
y = mx + b
Any linear equation which is solved for y is in
slope-intercept form.
Find the slope and y-intercept of the following linear equations:
4) y = x - 4 5 5
b = -4
1) y = 3x + 4
m = 8 8
m = 3
b = 4 -2 -2 -1
2) y = -2x - 1
5) y = x - 1
m =
b = 9 4 9 4
m = -2
b = -1
3) y = 5x
6) y = 6
m = 5
b = 0
m = 0
b = 6

5. Slope-Intercept Form of the Linear Equation
Write a linear equation in the form y = mx + b
given the following.
1) m = 2, b = -3
4) m = 0, b = 6
y = 2x - 3
y = 6
2) m = , b = 5
5) m = , b = 0
3) m = , y-int.= 2
6) m = 1, b =

6. -2 -3 Graph the following linear equation using slope and y-intercept.x y
Steps
1) Find the slope and y-intercept. +3
2) Plot the y-intercept. +2
3) Plot the slope. -2 2
m =
or m = -2 -3 3 -3
4) Draw line through points.

7. -1 -1 -2 Graph the following linear equation using slope
and y-intercept. x y
Steps -2 +1
1) Find the slope and y-intercept. -1 +2
2) Plot the y-intercept.
3) Plot the slope. -1 1
m =
or m = -2 2
4) Draw line through points.

8. Graph the equation below using the slope and y-intercept.x +5 +3 -3 -5

9. Graph the equation below using the slope and y-intercept.x +1 +2 -2 -1

10. Graph the equation using slope and y-intercept.x

11. Graph the equation using slope and y-intercept.x

12. Write a linear equation in slope-intercept form
to describe each graph. y y x x
b = 3
b = -4
y = 2x + 3

13. Write a linear equation to describe this situation and graph.
Kyle has $300 and is saving $25 a week.
Let x = # of weeks
Let y = savings in dollars
change
start value
y = 25x + 300
500
400
300
200
100
y = mx + b
Savings
Slope
Y-intercept
m = $25 / week
b = 300
Weeks

14. Pam received $100 and spends $4 each week.
1) Write an equation for the money, y,
she has after x weeks.
y = x
2) What are the slope and y-intercept?
m = -4
b = 100