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1.3-1.4 Review of Linear Equations Objectives: Graph linear equations, find x and y intercepts, find slope, and find zeros of linear functions. Write linear equations.

Standard Form (Linear equation): Ex. 1) Slope: Ex. 2) Ax + By = C (book will use Ax + By + C = 0) Where A & B are not both zero Ex. 1) Graph x + 2y – 4 = 0 using the intercepts (cover-up method) Slope:   Ex. 2) U.S. consumers have seen an increase in direct marketing in recent years. At the end of 2007, telephone marketing made up 7.7% of the market. By the end of 2012, that share was projected to increase to 9.4%. What is the average rate of increase in the percent share of telephone marketing? *slope is the rate of change in the y-coordinates for each 1-unit increase in the x-coordinates.

Slope-intercept Form: Ex. 3) Ex. 4) y = mx + b , m is the slope and b is the y-intercept Ex. 3) Graph using the y-intercept and the slope a.) y = -½x + 4 b.) 3x + y = 6 Find the zero (where graph hits x-axis) of each function. Then graph it. a.) f(x) = -2x + 8 b.) f(x) = 3 Ex. 4)

Write an equation in slope-intercept form for each line Described. Types of slopes Positive Negative 0 slope undefined (constant slope) Writing Equations Write an equation in slope-intercept form for each line Described. a.) slope of ½ and y-intercept of 4. b.) a slope of 2 and passes through (-3,-2) Ex. 5)

Ex. 6) Ms. Duffy is preparing her art classroom for a new year of   Ms. Duffy is preparing her art classroom for a new year of school. She placed a purchase order for $800 to buy paper, chalk, and clay. In addition, she expects the expenses each month to be $120. Write an equation that models the total expense y after x months. Ex. 6) See example 3 in book as well