Question

put the following equation of a line into slope-intercept form, simplifying all fractions.
8x - 20y = 40

Explanation:

Step1: Isolate the y - term

We start with the equation \(8x - 20y=40\). First, we want to get the term with \(y\) by itself on one side of the equation. We can do this by subtracting \(8x\) from both sides:
\(- 20y=-8x + 40\)

Step2: Solve for y

Now, we divide every term in the equation by \(-20\) to solve for \(y\).
For the first term: \(\frac{-8x}{-20}=\frac{8x}{20}=\frac{2x}{5}\) (we simplify the fraction by dividing numerator and denominator by 4)
For the second term: \(\frac{40}{-20}=- 2\)
So, \(y=\frac{2}{5}x-2\)

Answer:

\(y = \frac{2}{5}x - 2\)