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3.3 – The Equation of a Line

3.3 – The Equation of a Line. Three Forms of an Equation of a Line. Slope-Intercept Form :. This form is useful for graphing, as the slope and the y-intercept are readily visible. Point-Slope Form:.

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3.3 – The Equation of a Line

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  1. 3.3 – The Equation of a Line Three Forms of an Equation of a Line Slope-Intercept Form: • This form is useful for graphing, as the slope and the y-intercept are readily visible. Point-Slope Form: The point-slope form allows you to use ANY point, together with the slope, to form the equation of the line. Standard Form: Note: A, B, and C cannot be fractions or decimals.

  2. 3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

  3. 3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

  4. 3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

  5. 3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

  6. 3.3 – The Equation of a Line Write an equation of a line given the slope and the y-intercept.

  7. 3.3 – The Equation of a Line Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  8. 3.3 – The Equation of a Line Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  9. 3.3 – The Equation of a Line Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

  10. 3.3 – The Equation of a Line 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.

  11. 3.3 – The Equation of a Line 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

  12. 3.3 – The Equation of a Line Writing an Equation Given Two Points Point-slope form

  13. 3.3 – The Equation of a Line Writing an Equation Given Two Points Slope-intercept form

  14. 3.3 – The Equation of a Line Writing an Equation Given Two Points Standard form LCD: 4

  15. 3.3 – The Equation of a Line Solving Problems

  16. 3.3 – The Equation of a Line 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.

  17. 3.3 – The Equation of a Line Solving Problems

  18. 3.3 – The Equation of a Line Solving Problems Predict the weekly sales of the toy if the price is $7.50.

  19. 3.4 – Linear Inequalities in Two Variables Are the ordered pairs a solution to the problem?

  20. 3.4 – Linear Inequalities in Two Variables Are the ordered pairs a solution to the problem? true . true false true The shaded region represents the solution set for the inequality.

  21. 3.4 – Linear Inequalities in Two Variables Graph the solution set of the linear inequality false true

  22. 3.4 – Linear Inequalities in Two Variables Graph the solution set of the linear inequality false true

  23. 3.4 – Linear Inequalities in Two Variables Graph the solution set of the linear inequality false true

  24. 3.4 – Linear Inequalities in Two Variables Graph the solution set of the linear inequality true false

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