Then/Now You represented relationships among quantities using equations. (Lesson 2–1) Graph linear equations. Identify linear equations, intercepts, and.

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Then/Now You represented relationships among quantities using equations. (Lesson 2–1) Graph linear equations. Identify linear equations, intercepts, and zeros.

Vocabulary linear equation standard form Constant

x-intercept y-intercept

Example 1 A Identify Linear Equations A. Determine whether 5x + 3y = z + 2 is a linear equation. Write the equation in standard form.

Example 1 B B. Determine whether is a linear equation. Write the equation in standard form. Identify Linear Equations

A.A B.B C.C D.D Example 1 CYP A A. Determine whether y = 4x – 5 is a linear equation. Write the equation in standard form.

A.A B.B C.C D.D Example 1 CYP B B. Determine whether 8y –xy = 7 is a linear equation. Write the equation in standard form.

Example 2 A Find the x- and y-intercepts of the segment graphed. A x-intercept is 200; y-intercept is 4 B x-intercept is 4; y-intercept is 200 C x-intercept is 2; y-intercept is 100 D x-intercept is 4; y-intercept is 0

A.A B.B C.C D.D Example 2 CYP A Find the x- and y-intercepts of the graphed segment.

Example 3 A Find Intercepts ANALYZE TABLES A box of peanuts is poured into bags at the rate of 4 ounces per second. The table shows the function relating to the weight of the peanuts in the box and the time in seconds the peanuts have been pouring out of the box. A. Determine the x- and y-intercepts of the graph of the function.

Example 3 B Find Intercepts B. Describe what the intercepts in the previous problem mean.

A.A B.B C.C D.D Example 3 CYP A ANALYZE TABLES Jules has a food card for Disney World. The table shows the function relating the amount of money on the card and the number of times he has stopped to purchase food. A. Determine the x- and y-intercepts of the graph of the function.

A.A B.B C.C D.D Example 3 CYP B B. Describe what the y-intercept of 125 means in the previous problem.

Example 4 Graph by Using Intercepts Graph 4x – y = 4 using the x-intercept and the y-intercept.

Example 4 Graph by Using Intercepts To find the y-intercept, let x = 0. To find the x-intercept, let y = 0.

Example 4 Graph by Using Intercepts Answer:

Example 4 CYP Is this the correct graph for 2x + 5y = 10? A.A B.B

Example 5 Graph by Making a Table Graph y = 2x + 2. Select values from the domain and make a table. Then graph the ordered pairs. The domain is all real numbers, so there are infinite solutions. Draw a line through the points. Answer:

Example 5 CYP Is this the correct graph for y = 3x – 4? A.A B.B