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What is the equation of the line expressed in slope-intercept form? A.y = –6x – 1 B.y = 6x + 1 C.y = x – 6 D.y = –x + 6 http://static.k12.com/calms_media/media/1534000_1534500/1534081/1/ebf2574ba686938564e3ee9216f835af756fd1ce/MS_IMC-140917-107043.jpg
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What's the y-intercept here? The y-intercept is the place where the line crosses the y-axis.
-6?
Yep, you got it.
Now we have to find the slope, we can take any two points on the line and plug them into the formula. \(m = \dfrac{y_2-y_1}{x_2-x_1}\) (0, -6) (6, 0) \(m = \dfrac{0+6}{6-0}\) Simplify that, tell me what you get.
\[\frac{ 6 }{ 6} = 1\]
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Yep, so our final answer is: \(y = 1x - 6\) or \(y = x - 6\)
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