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3.5 Write and Graph Equations of Lines Slope-intercept form: y = mx + b m = slope b = y-intercept 10 Ex 1: Write an equation for the line in slope intercept form: 8 6 4 2 -5 -2 Ex 2: Write the equation of the line given: m = -1/2 and b = 4 Ex 3: Write the equation of the line given the point P and the slope m. a.) P (1, –3) m = 1/3 b.) P (4, 5) m = –2 Ex 4: Write an equation for the line passing through point (-1,1) that is: a) parallel to the line y = 2x -3 b) perpendicular to the line y = 2x - 3 −A B When in this form, it is often easier to graph using the intercepts. To find: x-intercepts (Let y = 0) and y-intercepts (Let x = 0). Standard Form: Ax + By = C Slope = Graph 8x − 2y = 10 Ex 5: Graph 3x + 4y = 12 8 8 6 6 4 4 2 2 -5 5 -5 5 -2 -2 -4 -4 -6 -6 -8 -8