Question

Which choice is the equation of a line that passes through point (7,3) and is parallel to the line represented by this equation?
Y=2/7x-3

A)7x+3y=2
B)y=2/7x+1
C)y=-7/2x-3
D)2x+7y=1

Answer 1

If the line is parallel, then the coefficients of \(x\) and \(y\) will be the same, so we have: \[
y=\frac 27x - b
\]We plug in \((x,y) = (7,3)\) and get: \[
(3) = \frac 27(7) - b
\]This equation allows us to solve for \(b\).

Answer 2

Would the answer be B?