Write the equation of the line that passes through (2, 2) and (6, 3) in standard form.

Question

anonymous · Answer

Do you know how to find the slope of the line containing both of those points?

anonymous · Answer

i think y1-y2/x1-x2

anonymous · Answer

That's it, so what is the slope you get from that?

anonymous · Answer

6

anonymous · Answer

Let's look at the y's first:

y2 = 3
and
y1 = 2

y2-y1= 1

Now the x's

x2 = 6
x1 = 2

x2-x1= 4

So our slope will be:

m = 1/4

anonymous · Answer

From here we use the point slope formula. We can use either point they'll give you the same equation at the end. The point slope formula is:

y−y1=m(x−x1)

anonymous · Answer

So:

m = 1/4
x1 = 6
y1 = 2

Putting that into our formula:

y - 2 = 1/4 (x - 6)

Now we solve for y:

y - 2 = 1/4 x - 6/4
y = 1/4 x + 2 - 6/4
y = 1/4 x + 2/4

y = 1/4 x + 1/2

anonymous · Answer

4x + 4y = 6 

 x + 4y = 12 

 4x + 4y = –12 

 x – 4y = –6 
these are the answers i got the first wrong and i do not knw where i went wrong