Question

Hi I need some help. Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b (-3,6); 2x=9y+4

Answer 1

what do parallel lines have in common?

Answer 2

We have to find a line that's parallel to
2x=9y+4
Let's rewrite this slope intercept form
\[2x-4=9y\]
\[9y=2x-4\]
divide whole equation by 9
\[y=\frac{2}{9} x-\frac{4}{9}\]
here slope = 2/9
Parallel Lines' slope are same
so our line also has slope =2/9
so
\[y=\frac{2}{9}x+c\]
now substitute x=-3 and y=6 in this to find C, as this point lies on this line
Can you solve it ?

Answer 3

y=2/9x+c should be if I am substituting -3 and 6 I believe it is like this 6=2/9(-3)+c??