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Algebra 5.7

Algebra 5.7. 5.7 Point-Slope Form. Learning Targets. Language Goal Students will be able to explain how to graph a line and write a linear equation using point-slope form. Math Goal Students will be able to write a linear equation given two points. Essential Question

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Algebra 5.7

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  1. Algebra 5.7 5.7 Point-Slope Form

  2. Learning Targets Language Goal • Students will be able to explain how to graph a line and write a linear equation using point-slope form. Math Goal • Students will be able to write a linear equation given two points. Essential Question • Why is it important to have different forms to graph a line?

  3. Warm-up

  4. Homework Check

  5. Homework Check

  6. Example 1: Using Slope and a Point to Graph • Steps are the same as if you were given a y-intercept • Step 1: Plot the given point • Step 2: Use the slope to move from the given point to the next point. • Step 3: Connect the points.

  7. Example 1: Using Slope and a Point to Graph A. Slope = ; (3, -2) B. Slope = 3; (1, 1)

  8. Example 1: Using Slope and a Point to Graph C. Slope = ; (3, 2) D. Slope = -1; (2, -2)

  9. Point-Slope Formula is the given point m = slope,

  10. Example 2: Writing Linear Equations in Point-Slope form • Write an equation in point-slope form for the line with the given slope that contains the given point. A. Slope = (-3, 0) B. Slope = -7; (4, 2)

  11. Example 2: Writing Linear Equations in Point-Slope form • Write an equation in point-slope form for the line with the given slope that contains the given point. C. Slope = 0(-2, -3)D. Slope = 2; (, 1)

  12. Example 3: Writing Linear Equations in Slope-Intercept Form • Slope Intercept Form: y = mx + b • Yesterday: • Step 1: Find the y – intercept by... • Plugging in the slope and the ordered pair. Solve for b. • Step 2: Write the equation using the slope and b. • Today: Step 1: Write the equation in point-slope form. Step 2: Write the equation in slope-intercept form by solving for y.

  13. Example 3: Writing Linear Equations in slope-Intercept form • Write an equation in slope-intercept form for the line with the given slope and contains the point. A. Slope = -4(-1, -2) Yesterday’s method Today’s method y = mx + b

  14. Example 3: Writing Linear Equations ins Slope-Intercept Form • Write an equation in slope-intercept form for the line with the given slope and contains the point. • B. Slope = C. Slope = 3; (-1, 4)

  15. Example 4: Using two points to write an equation. • Step 1: Find the slope. • Step 2: Substitute the slope and one of the points into the point-slope form • Step 3: Write the equations in slope-intercept form by solving for y.

  16. Example 4: Using two points to write an equation. • Write an equation in slope-intercept form for the line through the two points. A. (1, -4) and (3, 2) B. (4, -7) and (0, 5)

  17. Example 4: Using two points to write an equation. • Write an equation in slope-intercept form for the line through the two points. C. (1, -2) and (3, 10) D. (6, 3) and (0, -1)

  18. Example 5: Word Problems • The cost to place an ad in a newspaper for one week is a linear function of the number of lines in the ad. The costs for 3, 5, and 10 lines are shown. Write an equation in slope-intercept form that represents the function. Then find the cost of an ad that is 18 lines long.

  19. Example 5: Word Problems • At a different newspaper, the costs to place an ad for one week are shown. Write an equation in slope-intercept form that represents this linear function. Then find the cost of an ad that is 21 lines long.

  20. Summing It Up! Use the two points in the formula to find the slope. Then use the slope and one of the points to write the equation in point-slope form. If the slope is m and y –intercept is b, then the equation is y = mx + b Use the slope and the point to write the equation in point-slope form.

  21. Lesson Quiz

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