3.3 – The Equation of a Line Slope-Intercept Form: Point-Slope Form: Standard Form: Three Forms of an Equation of a Line Note: A, B, and C cannot be fractions.

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Presentation transcript:

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

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

m = slope of lineb = y-intercept 3.3 – The Equation of a Line

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

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

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

Writing an Equation Given Two Points or Given the two ordered pairs, write the equation of the line using all three forms. Calculate the slope. 3.3 – The Equation of a Line

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

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

Writing an Equation Given Two Points Standard form LCD: – The Equation of a Line

Solving Problems 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 $ – The Equation of a Line

Solving Problems 3.3 – The Equation of a Line

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

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

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

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

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

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

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