Warmups Find the slope. (2, -5) (3, 1) (-6, 4) (3, 7)

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Presentation transcript:

Warmups Find the slope. (2, -5) (3, 1) (-6, 4) (3, 7) Find the value of r. (5, r) (-2, 4) m = -1 (r, 5) (-2, r) m =

Writing Linear Equation in Point-Slope and Standard Forms SLO: Write a linear equation in point-slope form

Point-Slope Form (x1 ,y1) m = rise = slope point run y – y1 = m(x – x1) (x1 ,y1) m = rise = slope point run

Writing in Point-Slope Given a point and a slope, write an equation in point-slope form y – y1 = m(x – x1) Example 1: (3,8) m = 2 y – 8 = 2 (x – 3) x1, y1

Opposite sign than ordered pair! Example 2 y – y1 = m(x – x1) (-6,1) m = -4 (5,-2) m= y – 1 = -4(x + 6) x1, y1 Opposite sign than ordered pair!

Examples 3 & 4 y – y1 = m(x – x1) 3. (2,5) m = 0 y – 5 = 0(x – 2) 4. (-1,6) m = undefined (no) x = -1

Example 5 (6,3) (-8,5) Steps: Find slope Pick an ordered pair Given 2 ordered pairs, write an equation in point-slope form: (6,3) (-8,5) Steps: Find slope m = y2 – y1 x2 – x1 Pick an ordered pair There are 2 possible answers! m = 5 – 3 -8 – 6 y – 3 = -1/7(x – 6) or y – 5 = -1/7(x + 8) = 2 -14 = -1 7

Example Given 2 ordered pairs, write an equation in point-slope form: (-1,-7) (1,3) (-4,6) (-2,5)

You Try Given 2 ordered pairs, write an equation in point-slope form: (2,-6) (2,5) (5,3) (-2,3)