Write the equation of the line that goes through the points (using the given form)
(0,5) and (0,6), standard
NEED QUICK HELP

Question

Write the equation of the line that goes through the points (using the given form) 
(0,5) and (0,6), standard 
NEED QUICK HELP

john_es · Answer

Are you sure these are the points?

anonymous · Answer

Oh I'm sorry (6,0)

john_es · Answer

So, (0,5) and (6,0). I suppose the standard form of the line is this,
$$y=m\cdot x+n$$ 
where m is the slope and n is the intercept with the y axis.

anonymous · Answer

Okay so?

john_es · Answer

As you have two points, you can form a system of equations. Just plug in the values in the standard form for each point. Do you know how to do it?

john_es · Answer

For the first porint, (x,y)=(0,5), you have,
$$5=m\cdot 0+n\Rightarrow n=5$$

john_es · Answer

What do you obtain from the second point?

anonymous · Answer

Ok then?

john_es · Answer

You should try with the second point (x,y)=(6,0), what do you obtain for m?

anonymous · Answer

No clue..

john_es · Answer

Knowing that n=5, you have,
$$0=m\cdot 6+5\Rightarrow m=-5/6 $$So the equation you are searching for is,
$$y=-\frac{5}{6}x+5$$

john_es · Answer

These problems can be solved in different forms, but with two points you can solve all of them that way.