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Warm-Up

Warm-Up. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1) b . (6,-2) and (-1,-5) Put each equation into slope-intercept form. a. b . . SOLVE FOR “Y”. - 1 -1. +21 +21. Warm-Up.

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Warm-Up

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  1. Warm-Up • Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1) b. (6,-2) and (-1,-5) • Put each equation into slope-intercept form. a. b. SOLVE FOR “Y” -1 -1 +21 +21

  2. Warm-Up • Given slope = -3, and y-intercept = (0,5), create the equation of the line in slope-intercept form. • Look at the graph below and create an equation in slope-intercept form. m = -1/2 b = (0,2)

  3. 5.2 Point-Slope Form

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

  5. Write an equation given the slope and y-intercept. Write an equation of a line given the slope and the y-intercept. 1. 2. 3.

  6. Remember how to graph using slope-intercept form?? Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

  7. What is the equation of this line? Slope-Intercept Form: m = slope of line b = y-intercept m = -6/5 b = (0,2)

  8. What is the equation of this line? Slope-Intercept Form: m = slope of line b = y-intercept m = 3/2 b = (0,-3)

  9. What is the equation of the line? Slope-Intercept Form: m = slope of line b = y-intercept m = 3/4 b = (0,4)

  10. What is Point-Slope Form? We are going to use this, when given slope, m, and a random point, (x1,y1)

  11. Given a point (1,2) and m = 2/3, write the equation of the line. This is the equation of the line in point-slope form!! What if the directions said to write the equation in slope-intercept form? +2 +2

  12. Given a point (1,-5) and m = 3, write the equation of the line. This is the equation of the line in point-slope form!! What if the directions said to write the equation in slope-intercept form? - 5 - 5

  13. Given a point (-3,7) and m = -2, write the equation of the line. This is the equation of the line in point-slope form!! What if the directions said to write the equation in slope-intercept form? +7 +7

  14. Point-Slope Form Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  15. Point-Slope Form Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  16. 13.5 – Equations of Lines Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  17. Given a point (2,3) and m = 3 create an equation of the line. Using Slope-Intercept: Using Point-Slope Form: We don’t know the y-intercept, so let’s plug in what we know and solve for “b” Just plug in everything you know! Now just solve for “y” -6 -6 +3 +3 Now just plug in the “m” and “b” Which way is easier???

  18. Using Point-Slope Form 5 4 3 (2,2) 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5 Plug it into the point-slope form Simplify We need the slope and a point:

  19. Write the Equation in Point-Slope Form - 6 - 6

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