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pre-calc 1.4 - Section 1.4 Linear Functions and Slope...

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Section 1.4 Linear Functions and Slope Scatter plot = set of points that represent data in a visual form Regressions Line = line that best fits the data points The slope of the line through the distinct points (x 1 , y 1 ) and (x 2 , y 2 ) is 1 2 1 2 x x y y run rise x in change y in change - - = = , where x 2 x 1 0. - Positive slope = graph is rising from left to right. - Negative slope = graph is falling from left to right - Horizontal Line: slope is zero - Vertical Line : slope is undefined EX 1: Find the slope of the line passing through each pair of points: a.) (-3, 4) and (-4, -2) b.) (4, -2) and (-1, 5) Point-Slope form of the equation of a line -can use the slope of the line and any point on the line to help us write the equation of that line. ) ( 1 1 x x m y y - = - , where (x 1 , y 1 ) is any point on the line and m = slope of the line EX 2: Write the point-slope form of the equation of the line passing through (2, -5) with slope of 6. Then solve the equation for y.
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