Standard form of the line y = -3/5x + 5

[KV]

Write the equation of the line passing through each of hte given points with the indicaated slope. Give your result in the slope intercept form. The teacher wants it in standard form.
I have it in what I believe to be slope intercept form.
y=-3/5x+5
How do I get it in standard form?

 

[Mrspi]

Re: Standard form

Write the equation of the line passing through each of hte given points with the indicaated slope. Give your result in the slope intercept form. The teacher wants it in standard form.
I have it in what I believe to be slope intercept form.
y=-3/5x+5
How do I get it in standard form?

Well, standard form is defined differently in different texts. But, this is common:

Ax + By = C

where A, B, and C are integers and A is non-negative.

You have

y = (-3/5)x + 5

To get rid of the fraction, multiply both sides of the equation by 5:
5y = 5(-3/5)x + 5*5
5y = -3x + 25

Now, get the x and y terms on the same side of the equals sign. Add 3x to both sides of the equation:

3x + 5y = 3x + (-3x) + 25
3x + 5y = 25

That is now in the form
Ax + By = C

I hope this helps you.

 

[HaileyPH]

Thank you!!

This was VERY helpful! Thank you!