Slope and One Point

P (3,2) ; m = 1/2

P (2,2) ; m = 3/4

Positive Slope in Fraction

Form and Y - Intercept

Any line in the coordinate plane has y-intercept b if it intersects the y-axis at a point (0,b). Therefore the graph of linear function can also be drawn if the y-intercept b and the slope m are given.

The y-intercept or b has the coordinate (o,b).

The slope or m, on the other hand, is the rise and run, and often written in fraction form.

Example # 1

b = 2 ; m = 4/3

Locate the y-intercept in the y-axis.

Step 1

With the intercept as the starting point, determine another point using the given slope.

Step 2

Connect points to obtain the graph of linear function.

Step 3

Example # 2

b = -3 ; m = 2/3

Example # 3

b = -4 ; m = 6/5

Example # 4

b = 3 ; m = 4/3

Directions: Graph the linear function using the given slopes and y-intercepts. What shape is formed from the different lines?

1.) b = 3 ; m = 3/4

2.) b = 0 ; m = 7/5

3.) b = -3 ; m = 7/3

4.) b = 5 ; m = 2/6

Directions: Plot the given slopes and points on the Cartesian plane. Write the coordinates of the new points formed.

1. b = -2 ; m = 3/72. b = -4 ; m = 5/83. b = 1 ; m = 4/5

Assignment