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Algebra 5.1 Writing Linear Equations in Slope Intercept Form Slope Intercept Form Write an equation of the line whose slope m is -2 and whose y-intercept b is 5. m = -2 b=5 y = mx + b y = -2x + 5 b=5 y-intercept (0,5) Rise -2 m = -2 Run 1 Graph of y = -2x + 5 Writing an Equation of a Line from a Graph STEPS By looking at the graph: 1. Identify the y-intercept b 2. Find another point on the “corner” of a grid box (coordinates are whole numbers) 3. Either count rise and run from b to the other point, or use the slope formula to find m. 4. Plug in m and b to the equation y = mx + b. Example (from graph to equation) b = -2 Using visual count: m = Rise 1 Run 3 Rise 1 • • Run 3 (3,-1) (0,-2) Equation: 1 y x2 3 = 1 3 Using slope formula: m = -1 –(-2) 3-0 = 1 3 Write the equation b3 3 m 2 3 y x3 2 b 1 1 m 4 1 y x 1 4 Write the linear equation A plumber charges $66 for the first hour of a service call and $45 for any additional hours. Write a linear model to reflect the plumber’s charges and use the equation to determine the cost of a 3-hour service call. Let C represent the cost of the service and h represent the number of hours. C = 45h + 66 C = 45(2) + 66 C = 90 + 66 C = 156 Turn to page 275 Let’s go through Example 4 together Homework pg. 276 #12-36, 38-40