How do you find the slope given #3x+y=4#?

1 Answer
smendyka
Mar 20, 2017

See the entire solution process below:

Explanation:

This equation is in Standard 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

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

The equation from the problem is:

#color(red)(3)x + color(blue)(1)y = color(green)(4)#

Therefore the slope of the line represented by this equation is:

#m = -color(red)(3)/color(blue)(1) = -3#

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