Section 7.1 Graphs, Slopes, Inequalities and Applications
OBJECTIVES Find and graph an equation of a line given its slope and a point on the line. A
OBJECTIVES Find and graph an equation of a line given its slope and y-intercept. B
OBJECTIVES Find and graph an equation of a line given two points on that line. C
DEFINITION Point-slope form The point-slope form of the equation of the line going through ( ), and having slope m is
DEFINITION Slope-intercept form The slope-intercept form of the equation of the line having slope m and y-intercept b is
PROCEDURE Finding the Equation of a Line
PROCEDURE Finding the Equation of a Line
PROCEDURE Finding the Equation of a Line
PROCEDURE Finding the Equation of a Line
NOTE The Resulting Equation Can Always Be Written as Ax + By = C
Section 7.1 Exercise #1 Chapter Graphs, Slopes, Inequalities and Applications Section 7.1 Exercise #1 Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
(1,– 1) (2,– 6) Let’s work Exercise #19 from Section 5.1
Section 7.1 Exercise #2 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.1 Exercise #2 Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
(1, 1) (0, – 4) Let’s work Exercise #19 from Section 5.1
Section 7.1 Exercise #3 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.1 Exercise #3 Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
Section 7.2 Graphs, Slopes, Inequalities and Applications
OBJECTIVES Solve applications involving the point-slope formula. A
OBJECTIVES Solve applications involving the slope-intercept formula. B
OBJECTIVES Solve applications involving the two-point formula. C
Section 7.2 Exercise #4 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.2 Exercise #4 Let’s work Exercise #19 from Section 5.1
Long-distance rates for m minutes are $10 plus $0.20 for each minute. If a 10-minute call costs $12, write an equation for the total cost C and find the cost of a 15-minute call. Step 1: Read the problem. Step 2: Select the unknown. Let’s work Exercise #19 from Section 5.1 Step 3: Translate.
Long-distance rates for m minutes are $10 plus $0.20 for each minute. If a 10-minute call costs $12, write an equation for the total cost C and find the cost of a 15-minute call. Step 4: Use Algebra to find the cost C of an m = 15 minute call. Let’s work Exercise #19 from Section 5.1
Section 7.2 Exercise #5 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.2 Exercise #5 Let’s work Exercise #19 from Section 5.1
m minutes are used after the first 500. What is A cell phone plan costs $40 per month with 500 free minutes and $0.50 for each additional minute. Find an equation for the total cost C of the plan when m minutes are used after the first 500. What is the cost when 800 total minutes are used? Step 1: Read the problem. Step 2: Select the unknown. Let’s work Exercise #19 from Section 5.1 Step 3: Translate.
m minutes are used after the first 500. What is A cell phone plan costs $40 per month with 500 free minutes and $0.50 for each additional minute. Find an equation for the total cost C of the plan when m minutes are used after the first 500. What is the cost when 800 total minutes are used? Step 4: Use Algebra to find the cost C when 800 minutes are used. Let’s work Exercise #19 from Section 5.1
m minutes are used after the first 500. What is A cell phone plan costs $40 per month with 500 free minutes and $0.50 for each additional minute. Find an equation for the total cost C of the plan when m minutes are used after the first 500. What is the cost when 800 total minutes are used? Let’s work Exercise #19 from Section 5.1
Section 7.3 Graphs, Slopes, Inequalities and Applications
OBJECTIVES Graph linear inequalities in two variables. A
PROCEDURE Graphing a Linear Inequality
PROCEDURE Graphing a Linear Inequality
PROCEDURE Graphing a Linear Inequality Use any point (a, b) as a test point. Substitute the values of a and b for x and y in the inequality.
PROCEDURE Graphing a Linear Inequality If a true statement results, shade the side of the line containing the test point. If a false statement results, shade the other side.
Section 7.3 Exercise #7 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.3 Exercise #7 Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
Section 7.3 Exercise #8 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.3 Exercise #8 Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
Section 7.3 Exercise #9 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.3 Exercise #9 Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
Section 7.3 Exercise #10 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.3 Exercise #10 Let’s work Exercise #19 from Section 5.1
Let’s work Exercise #19 from Section 5.1
Section 7.3 Exercise #12 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.3 Exercise #12 Let’s work Exercise #19 from Section 5.1
Step 1: Read the problem. Let’s work Exercise #19 from Section 5.1
Step 2: Select the unknown.
Step 3: Translate.
Step 4: Use Algebra
Section 7.4 Graphs, Slopes, Inequalities and Applications
OBJECTIVES Find and solve equations of direct variation given values of the variables. A
OBJECTIVES Find and solve equations of inverse variation given values of the variables. B
OBJECTIVES Solve applications involving variation. C
DEFINITION y varies directly as x if There is a constant k such that y = kx k is the constant of variation or proportionality.
Section 7.4 Exercise #11 Chapter 7 Graphs, Slopes, Inequalities and Applications Section 7.4 Exercise #11 Let’s work Exercise #19 from Section 5.1
Step 2: Select the unknown. Step 1: Read the problem. Step 2: Select the unknown. Let’s work Exercise #19 from Section 5.1
Step 3: Translate.
Step 4: Use Algebra