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Point-Slope Formula

Point-Slope Formula

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Point-Slope Formula

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  1. What is the slope-intercept formula? Point-Slope Formula I can write an equation given a point and the slope.

  2. 2 forms to write linear equations. 1. Slope-intercept form. y = mx + b m = slope b= y-intercept 2. Point-slope form. or y = m(x – x1) + y1

  3. Write an equation in slope-intercept form. Slope = 2; b= -5 y = mx + b y = x 2 -5 Slope = 3; b= 4 y = mx + b y = x 3 + 4

  4. Write an equation in slope-intercept form. Slope = 4; b= -1 y = mx + b y = x 4 -1 Write an equation in Point-slope form. Slope = 2 and the line goes through (5,7) y = m(x – x1) + y1 y = (x – ) 2 5 + 7

  5. Write an equation in point –slope form AND slope-intercept form given a point and slope. Slope = ½ and the line goes through (4,-8) y = m(x – x1) + y1 y = (x – ) ½ 4 - 8 Point-slope form Slope-intercept form

  6. Write an equation in Point-Slope Form and in slope-intercept form Slope = -4 and the line goes through (-3,-8) y = m(x – x1) + y1 y = (x – ) -4 -3 - 8 y = -4 (x + 3) - 8 Point-slope form y = -4x - 12 - 8 Slope-intercept form y = -4x - 20

  7. Write and graph an equation through the points (2,6) and (4, 16). = 10 = 5 16 6 Find the slope 4 2 2 5 m= b= y = m(x – x1) + y1 y = (x – ) 5 2 + 6 -4 y = 5x – 10 + 6 Page 318: 8-11, 19-21,37-39 y = 5x - 4

  8. homework • WS: 5.4 point-slope formula.