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Published byHope Bailey Modified over 6 years ago

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Point-Slope Form of a Linear Equation

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Point-Slope Form In most textbooks the graphing form for a linear equation is called Point-Slope Form and is the following: The equation of a line that contains the point (x 1,y 1 ) and whose slope is m is: Point: Slope: (x1,y1)(x1,y1)

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Example 1 Algebraically find the equation of a line that passes through the point (1,-2) and has a slope of ½. ½ m (1,-2) (x 1,y 1 ) Substitute into point-slope

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Example 2 Algebraically find the slope-intercept equation of a line that contains the points (-1,4) and (-4,-2). Find Slope 2 m (-1,4) (x 1,y 1 ) (-4,-2) (x 2,y 2 ) Substitute into point-slope

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Example 3 Algebraically find the equation of a line that passes through the point (0,8) and has a slope of 5. 5 m (0,8) b y-intercept Substitute into slope-intercept form

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