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Find a if the point (-6,a) is on the line that passes through (-1,7) and (3,-2).

 Feb 21, 2020
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The slope through (-1,7) and (3,-2) is (3 - (-1))/(2 - 7) = 4/5.  Then by point-slope form, the equation of the line is y + 1 = 4/5(x - 7).  We want the value of y when x = -6, so a + 1 = 4/5(-6 - 7).    The answer is a = -57/5.

 Feb 21, 2020

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