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Question

anonymous · Answer

Input in standard form the equation of the given line.

The line that passes through (-1, -3) and (2, 1)

hartnn · Answer

find the slope first...
i think now you know the steps ?

anonymous · Answer

(1- (-3)) / ( 2 - (-1)) = 4/3?

hartnn · Answer

m = 4/3 yes correct

hartnn · Answer

x1 = 2
y1 = 1 
y-y1 = m (x-x1)

anonymous · Answer

Where did you get the 2 and 1 from?

hartnn · Answer

point ---->" (2, 1)"

anonymous · Answer

Ohh! Okay so y - 1 = 4/3 (x - 2)

hartnn · Answer

yes, 
bring it in the form ax+by =c
a as positive

anonymous · Answer

So multiply each side by 3 and that brings us to 3y-3 = 4x - 6. Then we add 3 to both sides making it 3y = 4x - 3. Then we want to isolate c so we subtract 4x by both sides making it -4x + 3y = -3. Right? Then aren't we supposed to make the -4x positive?

hartnn · Answer

4 (x-2) = 4x-8

anonymous · Answer

Ohh oops I multiplied the -2 by 3 as well. So then it's 3y = 4x - 5, right?

hartnn · Answer

yes 
now subtract 3y from both sides ...

anonymous · Answer

So -4x = -3y - 5?

hartnn · Answer

why did u bring 4x on left ? we need to keep a as positive 
so 
0 = 4x-3y -5 
got this ?
now add 5 on both sides

anonymous · Answer

Okay so 5 = 4x - 3y.

hartnn · Answer

thats it!

hartnn · Answer

or 4x-3y = 5

anonymous · Answer

Awesome! Thank you so much! I understand it all so much better! You've really helped me a lot!

hartnn · Answer

always happy to help :)
welcome ^_^