Write an equation for the line described. Write it in standard and point intercept form(if possible) through (1,3), m=-2 through (-5,4), m=-3/2 i need a little explanation also, if you can give it... studying for a test.

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Write an equation for the line described. Write it in standard and point intercept form(if possible) through (1,3), m=-2 through (-5,4), m=-3/2 i need a little explanation also, if you can give it... studying for a test.

Mathematics
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ok so you get those in standard form by first using this formula: \[(y - y_{1}) = m (x - x_{1})\]
so, for the first equation, this is (y - 3) = -2(x - 1)
y - 3 = -2x + 2

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to get it into standard form (Ax + By = 0) move 2x to the other side, giving you 2x + y - 3 = 2
depending on qhat the quiz asks you, the final answer will either be 2x + y = 5 or 2x + y - 5 = 0.
*what
Did you mean slope intercept when you said point intercept?
yes.. sorry
So the second one. Standard form : y-4=-3/2(x-(-5))
I get confused with the fractions?
And all those negatives are throwing me off..
Lots of people have trouble with it. We know that a negative negative is a positive. That gives you y - 4 = -3/2(x + 5)
Then, you multiply x and 5 by -3/2
a positive and a negative multiplied together is a negative. That gives you -3/2x - 15/2
-15/2 is reached when you multiply -3/2 and 5/1
do you understand that?
Yes, so far so good.
Then I need to put it in standard form..
Well, that wasn't a complete point slope form, so let me explain. Above you gave me y - 4 = -3/2(x - (-5)) Your complete slope form would be y = -3/2(x - 1), getting the 4 on the correct side. So, we'd have -3/2x + 3/2
do you understand how I got that?
Why dont you want it in the same form as the previous one? ax=by=0?
sorry ax+by=0
When I convert 4 into a fraction is that 8/2?
When I subtract that 8/2 from the right side I come up with -3/2x-7/2?
hold on a second
it's easier to set up standard form if you first have it in slope intercept form.
no, you want to get the constant on the right side of the equation BEFORE you multiply the whole thing by -3/2.
y = -3/2 + 3/2
constant meaning?
Constant is a number with no variables; 3a would be a coefficient, 3 is a constant.
where and how are you getting that +3/2
ok, let me explain
y-4=-3/2(x=5) can you take me from there?
Okay. (you were right, I was getting confused.)
(x+5)
first you add 4 to each side, giving you y = -3/2(x + 9)
multiply both terms by -3/2, giving you -3/2x -27/2
move -3/2x to the left side of the equation, giving you 3/2x + y = 27/2
sorry, -27/2
depending on the curriculum, your final answer would be 3/2x + y = -27/2 or 3/2x + y + 27/2 = 0
let me rewrite it out myself and see if that's the right answer
My book gives me an answer of 3x+2y=-7
Do I just multiply by 2 to clear the fraction?
no, when you're talking about lines you don't take out the fraction
but let me work it out and see if I can get it that way multiplying by 2
ok, it seems to me that your book does want you to multiply by 2, but my curriculum didn't teach me that
Ok.. thank you so much for being patient with me...this helped!
you're welcome :D

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