LESSON 31 Graphing Linear Equations Over Chapter 2 5-Minute Check 1 Translate three times a number decreased by eight is negative thirteen into an equation. Over Chapter 2 5-Minute Check 2 Solve 24 + b = 13. Over Chapter 2 5-Minute Check 3 Solve for b. TEKS Targeted TEKS A.2(B) Write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y 1 = m(x - x 1 ), given one point and the slope and given two points. A.3(C) Graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems. Also addresses A.2(A). Mathematical Processes A.1(E), A.1(F) Then/Now You represented relationships among quantities using equations. Graph linear equations. Identify linear equations, intercepts, and zeros. Vocabulary linear equation standard form constant x-intercept y-intercept Concept Example 1 A Identify Linear Equations A. Determine whether 5x + 3y = xy + 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 Example 1 CYP A A. Determine whether y = 4x 5 is a linear equation. Write the equation in standard form. 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. Interpret the intercepts if the x-axis was labeled months and the y-axis was labeled loan amount. Find Intercepts from a Graph Example 2 CYP A Find the x- and y-intercepts of the graphed segment. Interpret the intercepts if the x-axis was labeled time in seconds a candle was burning and the y-axis was labeled height of candle in centimeters. 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. B. Describe what the intercepts in the previous problem mean. Example 3 CYP A ANALYZE TABLES Jules has a gas card for a local gas station. The table shows the function relating the amount of money on the card and the number of times he has stopped to purchase gas. A. Determine the x- and y-intercepts of the graph of the function. 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 CYP Graph 2x + 5y = 10 using the intercepts? Example 5 Graph by Making a Table Graph y = 2x + 2. Example 5 CYP Is this the correct graph for y = 3x 4? LESSON 31 Graphing Linear Equations