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13.4 – Slope and Rate of Change

13.4 – Slope and Rate of Change. Slope is a rate of change. 13.4 – Slope and Rate of Change. 13.4 – Slope and Rate of Change. 13.4 – Slope and Rate of Change. Slope of any Vertical Line. 13.4 – Slope and Rate of Change. Slope of any Horizontal Line. 13.4 – Slope and Rate of Change.

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13.4 – Slope and Rate of Change

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  1. 13.4 – Slope and Rate of Change Slope is a rate of change.

  2. 13.4 – Slope and Rate of Change

  3. 13.4 – Slope and Rate of Change

  4. 13.4 – Slope and Rate of Change Slope of any Vertical Line

  5. 13.4 – Slope and Rate of Change Slope of any Horizontal Line

  6. 13.4 – Slope and Rate of Change Find the slope of the line defined by:

  7. 13.4 – Slope and Rate of Change Alternative Method to find the slope of a line If a linear equation is solved for y, the coefficient of the x represents the slope of the line.

  8. 13.4 – Slope and Rate of Change If a linear equation is solved for y, the coefficient of the x represents the slope of the line.

  9. 13.4 – Slope and Rate of Change Parallel Lines are two or more lines with the same slope. These two lines are parallel.

  10. 13.4 – Slope and Rate of Change Perpendicular Lines exist if the product of their slopes is –1. These two lines are perpendicular.

  11. 13.4 – Slope and Rate of Change Are the following lines parallel, perpendicular or neither? NEITHER

  12. 13.4 – Slope and Rate of Change Are the following lines parallel, perpendicular or neither? These two lines are perpendicular.

  13. 13.4 – Slope and Rate of Change For every twenty horizontal feet a road rises 3 feet. What is the grade of the road?

  14. 13.4 – Slope and Rate of Change The pitch of a roof is a slope. It is calculated by using the vertical rise and the horizontal run. If a run rises 7 feet for every 10 feet of horizontal distance, what is the pitch of the roof?

  15. 13.5 – Equations of Lines Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

  16. 13.5 – Equations of Lines Slope-Intercept Form: m = slope of line b = y-intercept

  17. 13.5 – Equations of Lines Slope-Intercept Form: m = slope of line b = y-intercept

  18. 13.5 – Equations of Lines Slope-Intercept Form: m = slope of line b = y-intercept

  19. 13.5 – Equations of Lines Write an equation of a line given the slope and the y-intercept.

  20. 13.5 – Equations of Lines Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  21. 13.5 – Equations of Lines Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  22. 13.5 – Equations of Lines Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  23. 13.5 – Equations of Lines Writing an Equation Given Two Points 1. Calculate the slope of the line. 2. Select the form of the equation. a. Standard form b. Slope-intercept form c. Point-slope form 3. Substitute and/or solve for the selected form.

  24. 13.5 – Equations of Lines Writing an Equation Given Two Points Given the two ordered pairs, write the equation of the line using all three forms. Calculate the slope. or

  25. 13.5 – Equations of Lines Writing an Equation Given Two Points Point-slope form

  26. 13.5 – Equations of Lines Writing an Equation Given Two Points Slope-intercept form

  27. 13.5 – Equations of Lines Writing an Equation Given Two Points Standard form LCD: 4

  28. 13.5 – Equations of Lines Solving Problems The pool Entertainment company learned that by pricing a pool toy at $10, local sales will reach 200 a week. Lowering the price to $9 will cause sales to rise to 250 a week. a. Assume that the relationship between sales price and number of toys sold is linear. Write an equation that describes the relationship in slope-intercept form. Use ordered pairs of the form (sales price, number sold). b. Predict the weekly sales of the toy if the price is $7.50.

  29. 13.5 – Equations of Lines Solving Problems

  30. 13.5 – Equations of Lines Solving Problems Predict the weekly sales of the toy if the price is $7.50.

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