Find the slope: 4x-5y = 20

rearrange as

5y = 4x-20
now divide by 5
y = 4/5 x - 4
recall the slope-intercept form for a line: y = mx+b
where m is the slope.
So, your slope is m = 4/5

Also, slope = -A/B = -4/-5 = 4/5.

To find the slope of a linear equation, we need to rewrite the equation in slope-intercept form, which is in the form of y = mx + b, where m is the slope.

Given equation: 4x - 5y = 20

Step 1: Move the term with 4x to the other side of the equation.
-5y = -4x + 20

Step 2: Divide all terms by -5 to isolate the y variable.
y = (-4/-5)x + (20/-5)

Simplifying further:
y = (4/5)x - 4

Now, we can identify the slope, which is the coefficient of the x term. In this case, the slope is 4/5.

Therefore, the slope of the equation 4x - 5y = 20 is 4/5.