Slope-intercept form is \(y= mx +b\)

Parallel means same slope different intercept.

Solve for b given point (1,-1)

Multiply both sides by 5.

Subtract 2 from each side.

Divide each side by 5.

\(-1=\frac{2}{5(1)+b}\)

\(-5=2(1)+5b\)

\(-5=2+5b\)

\(-7=5b\)

\(\frac{-7}{5}=b\)

\(y=\frac{2}{5x}-\frac{7}{5}\)

Parallel means same slope different intercept.

Solve for b given point (1,-1)

Multiply both sides by 5.

Subtract 2 from each side.

Divide each side by 5.

\(-1=\frac{2}{5(1)+b}\)

\(-5=2(1)+5b\)

\(-5=2+5b\)

\(-7=5b\)

\(\frac{-7}{5}=b\)

\(y=\frac{2}{5x}-\frac{7}{5}\)