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A line passes through A(3, 7), and B(-4, 9). Find the value of a if C(a, 1) is on the line.

 Sep 13, 2020
 #1
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slope is (9-7)/(-4-3)=-2/7. So y=-2/7x+b --> 7=-2/7*3+b --> b=55/7. So y=-2/7x+55/7 --> when y=1 --> 1=-2/7a+55/7 --> a=24

 Sep 13, 2020
 #2
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A line passes through A(3, 7), and B(-4, 9). Find the value of a if C(a, 1) is on the line.

 

a = (7 - 1) / arctan(2 / 7) + 3 = 24

 Sep 13, 2020

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