Warm-Up Bamboo 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.

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Presentation transcript:

Warm-Up Bamboo 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 Graph Use a table of values Slope Intercept Form

Families of Functions A family of functions is a group of functions with common characteristics A parent function is the simplest function with these characteristics

Linear Functions The 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

Slope Intercept Form Slope y-intercept

Examples Find the slope and y-intercept of the lines represented by the equations below y= -2x+1 y= -x +3 y= x+6 y= x y=4 -5x+y=0 4x+3y=9

Graphing a linear line given the equation 1. 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.

Example Graph the linear line represented by y=2x+4

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

Answer

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

Answer

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

Answer