FINDING SLOPE AND Y-

INTERCEPT On a graph

OBJECTIVE

To ANALYZE graphs and DISTINGUISH slope and y-intercept.

To ANALYZE tables and DISTINGUISH slope and y-intercept.

POSITIVE SLOPE = +RISE/RUN

NEGATIVE SLOPE = -RISE/RUN

ZERO SLOPE = 0 RISE/RUN

NO SLOPE/SLOPE UNDEFINED = IMPOSSIBLE (YEEK!)

SLOPE = 2/3POSITIVE SLOPE

CREATE A GRAPH FROM THE TABLE AND DETERMINE THE SLOPE

x y

0 0

1 1

2 2

SLOPE = 1/1 POSITIVE SLOPE

0 0.5 1 1.5 2 2.5 3 3.50

0.5

1

1.5

2

2.5

3

3.5

CREATE A TABLE AND DETERMINE THE SLOPE

-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5

-4

-3

-2

-1

0

1

2

SLOPE = -2/2 NEGATIVE SLOPEY-INTERCEPT = (0,-1)

X Y

-2 1

0 -1

2 -3

PRACTICE (TEXTBOOK)

PAGE 414

#1-10

draw graph for 3-8

Y-INTERCEPT Where the line crosses the y-axis.

Y-INTERCEPT = (0,-3)

CREATE A GRAPH FROM THE TABLE AND DETERMINE THE Y-INTERCEPT

x y

0 0

1 1

2 2

Y-INTERCEPT = (0,0)

0 0.5 1 1.5 2 2.5 3 3.50

0.5

1

1.5

2

2.5

3

3.5

CREATE A TABLE AND DETERMINE Y-INTERCEPT

-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5

-4

-3

-2

-1

0

1

2

Y-INTERCEPT = (0,-1)

X Y

-2 1

0 -1

2 -3