What is the slope of the equation: #5x - 6y = 30#?

1 Answer
smendyka
Apr 10, 2017

See the entire solution process below:

Explanation:

This equation is in the Standard Form for a linear equation. 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

So, for this equation: #color(red)(5)x - color(blue)(6)y = color(green)(30)#

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

So the slope for this equation is:

#m = (-color(red)(5))/color(blue)(-6) = 5/6#

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