0-6 Writing Equations in Point- Slope Form. Slope Formula y 1 – y 2 x 1 – x 2 Forms of lines Point-slope form: y – y 1 = m (x - x 1 )

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Presentation transcript:

0-6 Writing Equations in Point- Slope Form

Slope Formula y 1 – y 2 x 1 – x 2 Forms of lines Point-slope form: y – y 1 = m (x - x 1 )

Slope (m) the steepness of a line the rate of change the ratio of change in the y -coordinates to the change in x -coordinates the rise over the run formula

Rate of Change Determine if each function is linear. xy xy Ex 1 Ex

Four Types of Slope positive negative zero undefined

Rise over Run Find the slope of each line. Ex 3 Ex

Rise over Run Find the slope of each line. Ex 5 Ex

Find the slope of each pair of points Ex 7 (6, 4) (3, – 1) Ex 8 (0, – 3) (6, 0) Ex 9 (2, – 3) (2, 3) Ex 10 (1, – 4) (– 2, – 4)

Find the coordinate, given the slope Ex 11 Ex 11 (r, 6) (10, – 3); Ex 12 Ex 12 (6, 3) (r, 2);

Ex. 1: Find an equation in point-slope form for the line passing through (2,4) with slope. (y - y 1 ) = m (x - x 1 )

Ex 2 Write the point-slope form of an equation for a line that passes through (-2,0) with slope.

Ex 3. Find the equation of the line passing through (-1,-3) with slope a) Write the equation in point-slope form

WS 0-6