<h2>Steps:</h2>
- Slope-Intercept Form: y = mx + b (m = slope, b = y-intercept)
- Standard Form: Ax + By = C (A, B, & C are integers and A must be non-negative)
- Slope Formula:
where (x₁,y₁) and (x₂,y₂) are coordinates.
So for this, I will be putting the equation into slope-intercept form then rearranging it into standard form. Firstly, we need to solve for the slope. To do this, take the 2 coordinates given to us and solve as such:

Now, one of the coordinates given to us is (0,-2), which is the y-intercept. With all this info, our slope-intercept equation is
. From here we can solve for the standard form.
Firstly, add 3/4x onto both sides of the equation:

Now, it may appear that we are finished. However, 3/4 is not an integer (Integers are whole numbers). To make it an integer, we need to multiply both sides by 4:

<h2>Answer:</h2>
<u>In short, the standard form of this equation is 3x + 4y = -8.</u>