Warm-UpBamboo can grow very

quickly. The graph models the growth of a bamboo plant. Find the point where the line

crosses the vertical axis. What does this point tell you about the bamboo plant?

Find the slope of the line. What does the slope tell you about the bamboo plant?

SWBAT graph linear equations using the slope and y-intercept

Ways to GraphUse a table of valuesSlope Intercept Form

Families of FunctionsA family of functions is a group of functions

with common characteristics

A parent function is the simplest function with these characteristics

Linear FunctionsThe linear family of functions is the group of

functions whose are a line

One way to write the equation of a linear function is using slope intercept form

bmxy

Slope Intercept Form

bmxy Slope

y-intercept

ExamplesFind the slope and y-intercept of the lines

represented by the equations belowy= -2x+1y= -x +3y= x+6y= 3 - 0.1xy=4-5x+y=04x+3y=9

Graphing a linear line given the equation1. Use the equation to identify the slope (m)2. Use the equation to identify the y-intercept

(b)3. Start at the y-intercept and graph the

following points using the slope.

ExampleGraph the linear line represented by y=2x+4

Use the slope and y-intercept to graph the equationy=(2/3)x -1

Answer

Use the slope and y-intercept to graph the equationy=-x +2

Answer

Use the slope and y-intercept to graph the equationy= - ½ x

Answer