; Finding the slope and y-intercept
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# Finding the slope and y-intercept

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```									Objective- To identify the slope and y-intercept of a line in standard form.
Standard Form Ax + By = C 3x + 2y = 8 -3x -3x 2y = -3x + 8 2 2 y = -3 x + 8 2 2 y = -3 x + 4 2 Slope-Intercept Form y = mx + b y = -3 x + 4 2 m=

-3
2

b= 4

To change Standard Form to Slope-Intercept Form just solve the equation for y.

Graph the following equation.

-4x + 3y = 6
+4x +4x 3y = 4x + 6 3 3 y= 4x + 6 3 3 y= 4x + 2 3 m= 4 3 b= 2 y +4 +3

x

Graph the following equation. 2x + 6y = 3 -2x -2x 6y = -2x + 3 6 6 y = -2 x + 6 y = -1 x + 3 m= y
3 6 1 2

-1

-1

+3

x

3 b= 1 2

Graph the following equation. y=x y = 1x + 0 m= 1
b= 0 +1

y

+1

x

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 500 400

y = 300 + 25x Savings

y = mx + b
Slope Y-intercept

300

200 100
0

m = \$25 / week b = 300

0

1

2

3

4

5

Weeks

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

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