write the standard form of the line that passes through the given point. include your work in your final answer. (-8,0) and (1,5)

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25-05-2018
Mathematics

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write the standard form of the line that passes through the given point. include your work in your final answer. (-8,0) and (1,5)

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CallMeSenpai CallMeSenpai · Answer 1 · 2018-05-25T05:49:42+02:00

Ax + By = C Now, the Standard Form of the equation of a line is: Ax + By = CThe slope of this line is (-A/B) [note: convert to slope-intercept form, y=mx+b, to verify this] The two points (-8,0) and (1, 5) have a slope ("rise over run") of (5-0)/(1-(-8)) = 5/9. The line has the equation : 5x - 9y = D [we need a point to find D] 5(-8) - 9(0) = D -40 = DThe equation of the line, in Standard Form, is: 5x - 9y = -40