The standard form of this equation

## What is the standard form of an equation of the line that passes through the points (3,0) (6,-8)?

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# 1 Answer

Hi Mikk;

Standard form of an equation is...

Ax+By=C, neither A nor B equal zero, and A is greater than zero.

Let's begin by establishing slope. This is represented as m, and is the change-of-y divided by the change-of-x.

m=(y-y

_{1})/(x-x_{1})m=(0--8)/(3-6)

Subtracting a negative number is the same as adding a positive number.

m=(0+8)/(3-6)

m=(8)/(-3)

m=-8/3

(3,0) is the y-intercept. This is the value of y when x=0. Therefore, let's proceed with the slope-intercept form. This is...

y=mx+b, b is the y-intercept, the value of x when y=0.

y=(-8/3)x+3

Let's convert to standard form. We will add (8/3)x to both sides...

(8/3)x+y=(8/3)x-(8/3)x+3

**(8/3)x+y=3**