Question

If the line passing through the points
(a, 1) and (2, 6)
is parallel to the line passing through the points
(0, 7) and (a + 2, 1),
what is the value of a?

Answer 1

Parallel lines=same slope
\[\frac{6-1}{2-a}=\frac{1-7}{a+2}\]
\[5(a+2)=-6(2-a)\]
\[5a+10=-12+6a, a=22\]

Answer 2

thank you!!