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3.5 Graphing Linear Equations in Slope-Intercept Form Slope is the rate of change between any two points on a line. It is the measure of the steepness of the line. Equation Y = -2/3 x + 3 Y = 2x – 2 Y = -x + 1 Y=x-4 Description of Slope of Graph Graph Line -2/3 Y-intercept 3 •Slope = m = rise = change in y = y - y •run change in x = x - x •When the line rises from left to right, the slope is positive. •When the line falls from left to right, the slope is negative Slope in Graphs • (3, 2) (-3, -2) (0,2) (2, -1) Finding slope from a table X 4 7 10 13 Y 20 14 8 2 X -1 1 3 5 Y 2 2 2 2 X -3 -3 -3 -3 Y -3 0 6 9 Examples continued X 2 4 6 8 Y 10 15 20 25 X 5 5 Y -12 -9 5 -6 5 -3 Summary of Slopes • Positive Negative Zero Undefined Slope-Intercept Form •A linear equation written in the form y = mx + b is in slope intercept form. •The slope of the line is m, and the y-intercept is b. •Y = mx + b Examples: Find the slope and y-intercept •Y = 3x – 4 y = 6.5 -5x – y = -2 Graph •Graph 2x + y = 2