Question

write an equation of the line containing the given point and paraelle to the given line express answer in the y=mx+b form

(-6,6);7x=6y+5

Answer 1

Put (-6, 6) in\[y-y _{1}=m(x-x _{1})\]

Answer 2

\[7x=6y+5\]
\[6y=7x-5\]\
\[y=\frac{7}{6}x-\frac{5}{6}\] gives the slope of the line as

\[\frac{7}{6}\] so your line must have slope
\[\frac{7}{6}\] also. the point is
\[(-6,6)\] so use the almighty point slope formula to find the equation for your line.
\[y-y_1=m(x-x_1)\]

\[y-6=\frac{7}{6}(x-(-6))\]

Answer 3

\[y-6=\frac{7}{6}(x+6)\]
\[y-6=\frac{7}{6}x+7\]
\[y=\frac{7}{6}x+13\]