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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Presentation transcript:

Splash Screen

Lesson 5 Contents Example 1Identify Linear Equations Example 2Graph by Making a Table Example 3Use the Graph of a Linear Equation Example 4Graph Using Intercepts

Example 5-2a Graph In order to find values for y more easily, solve the equation for y. Original equation Add x to each side. Simplify.

Example 5-2a 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)(x, y) yx

Example 5-2a Answer: When you graph the ordered pairs, a pattern begins to form. The domain of is 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.

Example 5-2b Answer:.

Example 5-3a Shiangtai walks his dog 2.5 miles around the lake every day. Graphwhere 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. d2.5dt (d, t)(d, t) 02.5(0)0 (0, 0) 42.5(4)10 (4, 10) 82.5(8)20 (8, 20) 122.5(12)30 (12, 30) 162.5(16)40 (16, 40)

Example 5-3b 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.

Example 5-3c Lily rides her bike 3.5 miles every day. a. Graph the equation where m represents the number of miles Lily rides and d represents the number of days she rides. b. Suppose Lily wanted to ride 28 miles, how many days would it take her? Answer: Answer: 8 days

Determine the x -intercept and the y -intercept of Then graph the equation. Example 5-4a 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.

Example 5-4a 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.

Example 5-4b Determine the x -intercept and the y -intercept of. Then graph the equation. Answer: x -intercept (5, 0) ; y -intercept (0, 2)

End of Lesson 5

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