Point-Slope Form. What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept.

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Presentation transcript:

Point-Slope Form

What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept

What we Know so far…. Slope Where two points are given as (x 1,y 1 ) and (x 2,y 2 )

Where did this formula come from?

The New Stuff… Write equations Slope-intercept form is: Where m is the slope and b is the y-intercept Example: Find the equation of the line with slope -2 and y-intercept 8 y = -2x + 8 Easy if I know the y-intercept… but if I don’t?

The New Stuff… Point- Slope Form Point- Slope form is: Where m is the slope and (x 1, y 1 ) is the given point that the line goes through

The New Stuff… Point- Slope Form Point- Slope form is: Where does this equation come from?

Using Point-Slope Form to graph Point is (2,3) Slope is

Manipulate Point-Slope Form to Slope-Intercept form Simplify

Using Point-Slope Form to graph Point is (4,-3) Slope is

Manipulate Point-Slope Form to Slope-Intercept form

Your turn

Homework Pg. 304 #2 to 8 even Write slope and point Plot graph Write equation in slope intercept form