Objective To identify the slope and yintercept

1
Objective- To identify the slope and
y-intercept of a line in standard form.
Standard Form
Slope-Intercept Form
y mx b
Ax By C
-3
3x 2y 8
y x 4
-3x -3x
2
2y -3x 8
-3
m
2
2 2
-3
8
b 4
y x
2
2
-3
y x 4
2
To change Standard Form to Slope-Intercept Form
just solve the equation for y.
2
Graph the following equation.
-4x 3y 6
4x 4x
y
3
3y 4x 6
3 3
4
6
4
y x
3
3
4
y x 2
3
x
4
m
3
b 2
3
Graph the following equation.
2x 6y 3
-2x -2x
y
6y -2x 3
6 6
-2
3
y x
6
6
-1
1
y x
3
2
-1
x
3
-1
m
3
1
b
2
4
Graph the following equation.
y x
y
y 1x 0
m 1
b 0
1
1
x
5
Write a linear equation to describe this
situation and graph.
Ralph has 300 and is saving 25 a week.
Let x of weeks
Let y savings in dollars
Start value
change
y 300 25x
500 400 300 200 100 0
y mx b
Slope
Savings
Y-intercept
m 25 / week
b 300
0 1 2 3 4 5
Weeks
6
Pam received 100 and spends 4 each week.
1) Write an equation for the money, y, she has
after x weeks.
y 100 - 4x
2) What are the slope and y-intercept?
m -4
b 100