Write an equation of the line containing the given point and parallel to the given line. Express yur answer in the form y=mx+b

(7,9) x+4y=5
The equation of the line is y=

3 answers

Here is a clue for the question:
Parallel lines have the same slope.

You have 1 line - find its slope.

Hope that helps
I have tried to work this problem can not get this answer. I am sorry I was a problem
ok, you have a line x + 4y = 5
to find the slope re-write in the form
y = mx + c
where m is the slope and c is a constant

in the above line m = -1/4.

So we want the equation of a line parallel to the above line but goes through the point (7,9).

As I said above parallel lines have the same slope so now we have a point and a slope. That's all we need to get the equation.
Just sub in m = -1/4 and (x1,y1) = (7,9)
into y - y1 = m(x - x1)

and tidy up.

That's it.

Hope that clears things up