Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table...

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Transcript of Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table...

Page 1: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.
Page 2: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Example 1 Identify Linear Equations

Example 2 Graph by Making a Table

Example 3 Use the Graph of a Linear Equation

Example 4 Graph Using Intercepts

Page 3: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Graph

In order to find values for y more easily, solve the equation for y.

Original equation

Add x to each side.

Simplify.

Page 4: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Select five values for the domain and make a table.Then graph the ordered pairs.

Multiply each side by 2.

Simplify.

(3, 8)83

(2, 6)62

(0, 2)20

(–1, 0)0–1

(–3, –4)–4–3

(x, y)yx

Page 5: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Answer:

When you graph the ordered pairs, a pattern begins to form. The domain ofis the set of all real numbers, so there are an infinite number of solutions of the equation. Draw a line through the points. This line represents all the solutions of .

Page 6: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Answer:

.

Page 7: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Shiangtai walks his dog 2.5 miles around the lake every day. Graph where m represents the number of miles walked and d represents the number of days walking.

Select five values for d and make a table. Graph the ordered pairs and connect them to draw a line.

d 2.5d t (d, t)

0 2.5(0) 0 (0, 0)

4 2.5(4) 10 (4, 10)

8 2.5(8) 20 (8, 20)

12 2.5(12) 30 (12, 30)

16 2.5(16) 40 (16, 40)

Page 8: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Suppose Shiangtai wanted to walk 50 miles, how many days would it take him?

Since any point on the line is a solution of the equation, use the graph to estimate the value of the x-coordinate in the ordered pair that contains 50 as the y-coordinate.

Answer: The ordered pair (20, 50) appears to be on the line so it should take Shiangtai 20 days to walk 50 miles. Check this solution algebraically by substituting (20, 50) into the original equation.

Page 9: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Lily rides her bike 3.5 miles every day.

a. Graph the equation where m represents the number of miles Lily ridesand d represents thenumber of days she rides.

b. Suppose Lily wanted to ride28 miles, how many dayswould it take her?

Answer:

Answer: 8 days

Page 10: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Determine the x-intercept and the y-intercept of Then graph the equation.

To find the x-intercept, let .

Original equation

Replace y with 0.Divide each side by 4.

To find the y-intercept, let .

Original equation

Replace x with 0.Divide each side by –1.

Page 11: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Answer: The x-intercept is 1, so the graph intersects the x-axis at (1, 0). The y-intercept is –4, so the graph intersects the y-axis at (0, –4).Plot these points. Then draw a line that connects them.

Page 12: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

Determine the x-intercept and the y-intercept of. Then graph the equation.

Answer: x-intercept (5, 0); y-intercept (0, 2)

Page 13: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.
Page 14: Splash Screen Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example.

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