How do I write a equation in standard form from the points (0,3),(2,-3)

Question

How do I write a equation in standard form from the points (0,3),(2,-3) after I wrote it in point slope form. How do i rewrite the  equation in standard form

Answer 1

Hello Nick,

 

This isn't as difficult as it sounds. First, we need to find the slope so we do

 

(y(2)-y(1))/(x(2)-x(1)) and plug in using the points we have: 

 

(-3-3)/(2-0) = -6/2 = -3

 

Now we use the point slope formula which is y – y1 = m(x – x1)

 

From this, we again plug in using one point and the slope we have. Let's choose (0,3) because it's simpler. 

 

We get: y-3 = -3 (x-0) 

y - 3 = -3x

y = -3x + 3

 

I hope this helps. :) 

 

From this, we just put it into standard form which is Ax + By = C

 

We get 3x + y = 3

Answer 2

You first find the slope of the points:

 

(-3 - 3)/(2 - 0) = -6/2 = -3

 

then you put it into the point slope form:

 

y - y₁ = m(x - x₁)

y - 3 = -3(x - 0)

y - 3 = -3x

 

Then you put the x and y terms on one side:

 

y + 3x = 3

3x + y = 3