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

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

anonymous · Answer

what  do parallel lines have in common?

ash2326 · Answer

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 ?

anonymous · Answer

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