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5 minute check 5a

4-2 Graphing Linear Functions

Video Tutor Help Graph using slope intercept form Brain Pop Slope and intercept Linear functions Graphing Functions of the Form y=mx Khan Academy 4-2 Graphing Linear Functions Course 3 Slope-Intercept Form Linear equations of the form y = mx+b can describe any non-vertical line in the Cartesian plane. The constant m determines the line's slope, and the constant b determines the y intercept and thus the line's vertical position. 4-2 Graphing Linear Functions Course 3 Linear Equations in the Real World Linear equations can be used to solve many types of real-world problems. In this episode, the water depth of a pool is shown to be a linear function of time and an equation is developed to model its behavior. Unfortunately, ace Algebra student A.V. Geekman ends up in hot water anyway. 4-2 Graphing Linear Functions Course 3 Solving Problems with Linear Equations How do we create linear equations to solve real-world problems? This video explains the process.

Worksheets 4-2 Note-Taking Guide 4-2 Practice 4-2 Guided Problem Solving

Vocabulary Practice Chapter 4 Vocabulary (Electronic) Flash Cards

Additional Lesson Examples 4-2 Step-by-Step Examples

Lesson Readiness 4-2 Problem of the Day 4-2 Lesson Quiz

Understanding Slope 1.Find the slope of line s. 2.Find the slope of line t. 3.The data in the table is linear. Find the slope. 4. Graph Exercise 3 data and the line. LESSON 4-1 undefined Lesson Quiz

Slope-Intercept Form Slope-Intercept Form: y = mx + b slope Y-intercept When the equation is written in this form, m is the slope, and b is the y-intercept.

Example 5-1a State the slope and the y-intercept of the graph of the equation of Answer: The slope of the graph is and the y-intercept is –5. Write the equation in the form Find Slopes and y-intercepts of Graphs

Example 5-2a Answer: The slope of the graph is –2 and the y-intercept is 8. Write the original equation. State the slope and the y-intercept of the graph of the equation of Subtract 2x from each side. Simplify. Write the equation in the form Find Slopes and y-intercepts of Graphs

Example 6-1a State the slope and the y -intercept of the graph of. Write the original equation. Answer: The slope of the graph is, and the y -intercept is 3. Find the Slope and y-Intercept

Example 6-3a Graph using the slope and y -intercept. Step 1 Find the slope and y -intercept. Write the original equation. Subtract 3x from each side to write in slope- intercept form. Graph an Equation

Example 6-3a Step 2 Graph the y -intercept point at ( 0, 9 ) Step 3 Write the slope –3 as. Use it to locate a second point on the line. (0, 9)

Example 6-3a (0, 9) Another point on the line is at (1, 6). Step 4Draw a line through the two points. (1, 6)

Number ofTotal Cost Gallons 1$2.19 2$4.38 3$6.57 4$8.76 Juice costs $2.19 per gallon. The total cost of g gallons is a function of the price of a single gallon. Make a table and a graph. Graphing Linear Functions LESSON 4-2 You cannot buy part of a container, so the data are discrete. Use points for each input value. Connect the points with a dashed line. Additional Examples

Amber earns $7 per hour. Make a table to describe Amber’s earnings (output) as a function of hours she works (input). Graph the function. Graphing Linear Functions LESSON 4-2 Input (h) Output ($) Additional Examples

Example 5-3a Graph using the slope and y-intercept. Step 1 Find the slope and y-intercept. Step 2 Graph the y-intercept (0, 2). (0, 2) y-intercept Graph an Equation

Example 5-3b Step 4 Draw a line through the two points. Answer: right 3 up 2 change in y: up 2 units change in x: right 3 units Step 3 Use the slope to locate a second point on the line. (0, 2)

State the slope and the y -intercept of the graph of. Example 6-2a Add 4x to each side. Write the original equation. Simplify. Divide each side by 5. Write and Equation in Slope-Intercept Form