Big Idea:

-Solve systems of linear equations by graphs.

Slope = m =

There are 4 types of slopes:Remember to read the line from left to right.

vertical change (rise)

horizontal change (run)

Positive slope Negative slope

Zero Slope No Slope

Slope-Intercept Formy = mx + b

m = slopeb = y-intercept

A) y = 4x

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10x

-10

-9

-8

-7

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

7

8

9

10

y

B) y = -5x - 1

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10x

-10

-9

-8

-7

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

7

8

9

10

y

C) -2x + 4y = 6

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10x

-10

-9

-8

-7

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

7

8

9

10

y

Slope Formula 2 1

2 1

y ym

x x

A) (0, 5), (-4, 9)

B) (-4, 8), (-4, 10)

C) (5, 1), (-5, -1)

Ax + By = C (you can graph using the x- and y-

intercepts) 3x + 4y = 12

The line through point (x1, y1) with slope m has the equation

A) slope = 4; ( 4, 6)

B) slope = -1; (0, -9)

C) slope = 0; (5, -3)

A) (-5, 4) and (0, 1)

B) (7, 8) and (6, -2)