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HARRISMATH19.WEEBLY.COM 3.01 GRAPHING LINES WAYS TO GRAPH • If the equation is in slope intercept form (y=mx+b), use the yintercept and slope • Plot the y-intercept then use the slope • If the equation is in standard form (Ax+By=C), use the x and y intercepts • Plug in zero for the x value to solve for the y intercept (C/A) • Plug in zero for the y value to solve for the x intercept (C/B) EXAMPLES • 2x-4y=8 • 2(0) – 4y =8 • -4y = 8 • y = -2 • 2x-4y=8 • 2x – 4(0) =8 • 2x = 8 •x = 4 • C/B = 8/-4 = -2 • C/A = 8/2 = 4 SCATTER PLOTS 3.02 SLOPE •Rise over run: up (+) or down (-) and ALWAYS right () •Slope formula: 3.03 WRITING EQUATIONS OF LINES • Point-Slope Form: • Slope-Intercept Form: • If given two points, you can use the slope formula, then plug in the slope and one of the points to the point-slope form. If you need to get slope-intercept form, distribute the slope and move y1 to the right side. 3.05 PARALLEL AND PERPENDICULAR SLOPES 3.06 GRAPHING INEQUALITIES AND ABSOLUTE VALUE EXAMPLES GRAPHING ABSOLUTE VALUE FUNCTIONS GRAPHING ABSOLUTE VALUE INEQUALITIES 3.07 TYPES OF FUNCTIONS AND TRANSFORMATIONS CONSTANT FUNCTION STEP FUNCTION ABSOLUTE VALUE FUNCTION IDENTITY FUNCTION PIECEWISE FUNCTION RATIONAL FUNCTION INVERSE VARIATION FUNCTION DIRECT VARIATION FUNCTION QUADRATIC FUNCTION SQUARE ROOT FUNCTION HORIZONTAL SHIFT VERTICAL SHIFT REFLECTION