Respuesta :

pi314

This question will require the understanding of "standard form".

x+y={number}

TO  SOLVE:

We will first need to find the slope. The slope can be determined by:

[tex]\frac{y^{2}-y^{1}}{x^{2}-x^{1}}[/tex]

So our equation will be:

[tex]\frac{-4-1}{2+1}[/tex]

The slope will be -5/3. Now, let's solve the y-intercept also known as (0, y). To find this, we will just plug in our numbers. (I'd like to do this in y-intercept form)

y=mx+b

To solve, we will take either of the points. I'll choose (-1, 1) as it is easier.

1=-1(-5/3)+b

1=(5/3)+b

-2/3=b

So, our slope intercept form will be:

y=-5/3x-2/3.

We will convert it by subtracting x from both sides.

So thus, 5/3x+y=-2/3 is the answer!

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