How do you find the slope for #5x-4y=20#?

1 Answer
Mar 15, 2018

See a solution process below:

Explanation:

This equation is in the Standard Linear Form. The standard form of a linear equation is: #color(red)(A)x + color(blue)(B)y = color(green)(C)#

Where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

#color(red)(5)x - color(blue)(4)y = color(green)(20)#

The slope of an equation in standard form is: #m = -color(red)(A)/color(blue)(B)#

Substituting gives the slope of this equation as:

#m = (-color(red)(5))/color(blue)(-4) = 5/4#