Write an equation in pointslope form and slopeintercept

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Write an equation in point-slope form and slope-intercept form for each line. 1. passes

Write an equation in point-slope form and slope-intercept form for each line. 1. passes through (2, 5), slope = – 1 2. passes through (1, 9), slope = 4 3. passes through (3, 6) and (1, 2) 4. Bode is planning a party. The cost for 10 people is $170. The cost for 25 people is $470. Write an equation in point-slope form to represent the cost y of having a party for x people. 5. Write the equation in point-slope form that represents the table of values shown. Course 3, Lesson 3 -7

ANSWERS 1. y – 5 = – 1(x – 5); y = –x +

ANSWERS 1. y – 5 = – 1(x – 5); y = –x + 7 2. y – 9 = 4(x – 1); y = 4 x + 5 3. y – 6 = 2(x – 3); y = 2 x 4. Sample answer: y – 170 = 20(x – 10) 5. y – 3 = 2(x – 1) Course 3, Lesson 3 -7

Expressions and Equations WHY are graphs helpful? Course 3, Lesson 3 -7

Expressions and Equations WHY are graphs helpful? Course 3, Lesson 3 -7

Expressions and Equations • 8. EE. 8 Analyze and solve pairs of simultaneous linear

Expressions and Equations • 8. EE. 8 Analyze and solve pairs of simultaneous linear equations. • 8. EE. 8 a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. • 8. EE. 8 b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. Course 3, Lesson 3 -7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Expressions and Equations • 8. EE. 8 c Solve real-world and mathematical problems leading

Expressions and Equations • 8. EE. 8 c Solve real-world and mathematical problems leading to two linear equations in two variables. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 7 Look for and make use of structure. Course 3, Lesson 3 -7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Expressions and Equations To • write and solve a system of equations by graphing

Expressions and Equations To • write and solve a system of equations by graphing • determine if the system has no solution, one solution, or an infinite number of solutions Course 3, Lesson 3 -7

Expressions and Equations • systems of equations Course 3, Lesson 3 -7

Expressions and Equations • systems of equations Course 3, Lesson 3 -7

Example #1 Course 3, Lesson 3 -7

Example #1 Course 3, Lesson 3 -7

Expressions and Equations How did what you learned today help you answer the WHY

Expressions and Equations How did what you learned today help you answer the WHY are graphs helpful? Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Example #2 Course 3, Lesson 3 -7

Example #2 Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Example #3 Course 3, Lesson 3 -7

Example #3 Course 3, Lesson 3 -7

Another Example Course 3, Lesson 3 -7

Another Example Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Example #4 Course 3, Lesson 3 -7

Example #4 Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Example #5 Course 3, Lesson 3 -7

Example #5 Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Example #6 Course 3, Lesson 3 -7

Example #6 Course 3, Lesson 3 -7

Course 3, Lesson 3 -7

Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Another Example: Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Got it? Course 3, Lesson 3 -7

Expressions and Equations How did what you learned today help you answer the WHY

Expressions and Equations How did what you learned today help you answer the WHY are graphs helpful? Sample answers: • You can graph a system of equations to find the point of intersection of the lines which is the solution. • You can tell if two lines are parallel which means the system has no solutions. • You can tell when two lines are the same line which means the system has an infinite number of solutions. Course 3, Lesson 3 -7

Equations Ratios and. Expressions Proportionaland Relationships Solve the system y = 2 x +

Equations Ratios and. Expressions Proportionaland Relationships Solve the system y = 2 x + 6 and y = – 4 x – 6 by graphing. Course 3, Lesson 3 -7