Linear Functions Review

Slides:



Advertisements
Similar presentations
Objective - To graph linear equations using the slope and y-intercept.
Advertisements

EXAMPLE 1 Write an equation of a line from a graph
Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.
Don’t forget to show your work!. Slope-Intercept Form Section 3.6.
The equation of a line - Equation of a line - Slope - Y intercept
Systems of Equations OBJECTIVES To understand what a system of equations is. Be able to solve a system of equations from graphing the equations Determine.
Write an equation given two points
Graph an equation in standard form
Solving Systems of Linear Equations by Graphing
Warm-Up How would you describe the roof at the right?
Section 1.1 Slopes and Equations of Lines
Solving Equations & Inequalities Slope Slope- Intercept Form Systems of Equations Using Intercepts Writing Equations.
Daily Homework Quiz Review 5.3
Chapter 8 Review.
WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages
For the line that passes through points (-4, 3) and (-2, 4).
Linear Functions Slope and y = mx + b. Remember Slope… Slope is represented by m m = 0 Horizontal Line Vertical Line Slope up to the right Slope up to.
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
EXAMPLE 4 Solve a multi-step problem A business rents in-line skates and bicycles. During one day, the business has a total of 25 rentals and collects.
1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt FunctionsSlopeGraphs.
. 5.1 write linear equation in slope intercept form..5.2 use linear equations in slope –intercept form..5.3 write linear equation in point slope form..5.4.
Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 1.4, Slide 1 Chapter 1 Linear Equations and Linear Functions.
Some Algebra Review By: Mrs. Brown. Functions and Relations Which relation is NOT a function?
+ CHAPTER 5 REVIEW. + U-Haul charges $25 a day to rent a moving truck and $2 per mile. A) Write an equation that gives total cost as a function of the.
Section 2.2 – Linear Equations in One Variable
1. Write the equation in standard form.
Graphing Lines Using Slope-Intercept Form
Daily Homework Quiz Review 5.3
Chapter 1 Linear Equations and Linear Functions.
Example: Find the slope of the line through (4, – 3 ) and (2, 2). If we let (x1, y1) = (4, – 3) and (x2, y2) = (2, 2), then Note: If we let (x1,
Section 1.3 Lines.
Chapter 2 Section 3.
Quick Graphs of Linear Equations
Graphing Linear Equations
Lines in the Coordinate Plane
Warm Up Substitute the given values of m, x, and y into the equation y = mx + b and solve for b. 1. m = 2, x = 3, and y = 0 Solve each equation for y.
Chapter 1 Linear Equations and Linear Functions.
Coordinates & Scatter Plots Finding The Slope Slope Intercept Functions & Graphs $100 $100 $100 $100 $200 $200 $200 $200 $300 $300 $300 $300 $400 $400.
Coordinate Algebra Practice EOCT Answers Unit 3.
Slope of a Line.
Graphing Linear Equations
Linear Functions, Slope, and Applications
graphing Linear equations & functions
Linear Equations Notes & Practice.
The equation of a line can be written in many different forms
6-1 Solving Systems by Graphing
Writing Linear Equations Given Two Points
3.5 Write and Graph Equations of Lines
2.5 Linear Equations.
Chapter 3 Section 3.
Chapter 1 Linear Equations and Linear Functions.
Writing the Equation of a Line
Section 7.1 “Solve Linear Systems by Graphing”
Determining an Equation of a Line
Parallel Lines in Coordinate Plane
Chapter 3 Section 3.
Lines in the Coordinate Plane
y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form
EXAMPLE 1 Write an equation of a line from a graph
Day 5 – Forms of Equation.
Geometry Section 3.5.
First let’s review 5.1 y = mx + b
Chapter 1 Graphs.
العلاقات والدوال أ. ريما عباس ريض 152.
3 Chapter Chapter 2 Graphing.
Objective graph linear equations using slope-intercept form.
Function & Vertical Line Test
2.2: Graphing a linear equation
5.4 Finding Linear Equations
13.4 – Slope and Rate of Change
Presentation transcript:

Linear Functions Review Rules of the game. Each person in your group needs to answer. Answer Sheets will be collected at the end of the period. Answers will be entered on the calculator. Some are fill in the blank while others are multiple choice. The first person in with the correct answer gets the points for his/her group. You have until the music stops playing to answer the question. However, some questions will require more time and will be given when appropriate. In the event of a tie the points will be split among the groups. Let’s Begin

Slope Relations and Functions Slope-Intercept Form Systems of Equations Using Intercepts Writing Equations 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 600 600 600 600 600 600 700 700 700 700 700 700

State the Domain of the given relation: 100 State the Domain of the given relation: (-3, -5), (3, 4), (5, -4), (2, -4) (2, 6) D =

Find the slope of the line that passes through the given points: 100 Find the slope of the line that passes through the given points: (-5, 4) and (6, 8)

100 In the slope intercept form of the equation y = mx + b, what does the m represent? Slope Y-intercept

Is the point (-2, -3) a solution to the given system of equations? 100 Is the point (-2, -3) a solution to the given system of equations? y = 3x +3 y = -x – 5 Yes or No

Find the x – intercept for the equation 2x + 3y = 12. 100 Find the x – intercept for the equation 2x + 3y = 12.

Slope = -5/3 y-intercept = -5 100 Write the equation of the line in slope-intercept form with the given slope and y-intercept. Slope = -5/3 y-intercept = -5

State the range of the given relation: 200 State the range of the given relation: (-3, -5), (3, 4), (5, -4), (2, -4) (2, 6) R =

Find the slope of the line below. 200 Find the slope of the line below.

Identify the slope of the line with the given equation. 200 Identify the slope of the line with the given equation.

Identify the solution to the system. 200 Identify the solution to the system.

Find the y-intercept of the given equation. 200 Find the y-intercept of the given equation.

Write the equation of the line through the given points. 200 Write the equation of the line through the given points. (0, 4), and (3, 5)

Is the given relation a function? 300 Is the given relation a function?

Find the slope of the line through the given points. 300 Find the slope of the line through the given points. (-13, 6), and (8, -17)

300 For the line with the given equation, find the slope of a parallel line that passes through the point (0, -5)

If two lines are parallel, how many solutions are there? 1 solution 300 If two lines are parallel, how many solutions are there? 1 solution No solution Infinitely many solutions

Find the x – intercept of the equation 300 Find the x – intercept of the equation

300 For the line with the given equation, find the slope of a line that is perpendicular to the given line.

400 The amount of rainfall in your town is recorded every day for a month. A relation is given by the ordered pairs (inches of rain, day of month). Does this relation represent a function?

Find the slope of the line with the given intercepts 400 Find the slope of the line with the given intercepts x- intercept = -2.5 y - intercept = 1.5

Slope = -4/3, y-intercept = 6 Slope = -3/4, y-intercept = 6 400 Identify the slope and y-intercept of the line with the given equation. Slope = -4/3, y-intercept = 6 Slope = -3/4, y-intercept = 6

Solve the system by graphing. 400 Daily Double Solve the system by graphing.

400 Find the intercepts of the equation.

400 Write the equation of the line that is parallel to the given line and passes through the point (0, -5).

Is the given relation a function? 500 Is the given relation a function?

Which line has the greater slope? Line A: (20, -18), (1, -2) 500 Daily Double Which line has the greater slope? Line A: (20, -18), (1, -2) Line B: (-3, -4), (15, 16)

Which equation is the following equation in slope-intercept form? 500 Which equation is the following equation in slope-intercept form? a. c. b. d.

Solve the system by Graphing 500 Solve the system by Graphing x = 3 y = 4

Identify the intercepts for the equation 500 Identify the intercepts for the equation

Write your answer in slope intercept form. 500 Write an equation of the line that is perpendicular to the line y = -3x + 4 and passes through the point (0, 7). Write your answer in slope intercept form.

State the domain for the given function. 600 State the domain for the given function.

600 Find the coordinates of two points on the line with the given equation. Then use the points to find the slope of the line.

600 Daily Double For the lines with the given equation, place the equation in slope intercept form and find the y-intercept.

600 The graphs of the three equations below form a triangle. Find the coordinates of one of the vertices.

Find the intercepts for the given equation. 600 Find the intercepts for the given equation.

600 Write an equation of the line through the given points. (0, -6), (8, -16)

Every relation is a function. 700 Every relation is a function. True or False.

700 The grade of a road is its slope written as a percent. A warning sign must be posted if a section of road has a grade of at least 8% and is more than 750 feet long. A road rises 63 feet over a horizontal distance of 840 feet should a warning sign be posted? What is the grade?

700 Find the slope of a line that is perpendicular to the line with the given equation.

700 A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write and solve a system of linear equations to find the number of skates rented.

700 Find the intercepts of the given equation.

Write an equation through the given points. (-2, -11), (0, -11) 700 Write an equation through the given points. (-2, -11), (0, -11)