Question

What is the slope of the line for 3x+ 4y = 20?

Answer 1

Slope is -3/4
20 characters

Answer 2

`-(3)/(4)`

Explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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First, subtract 3x from both sides of the equation:

3x (-3x) + 4y = (-3x) + 20

4y = -3x + 20

Next, divide 4 from both sides of the equation:

(4y)/4 = (-3x + 20)/4

y = (-3/4)x + 5

`y = -(3)/(4)x + 5`

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Note the equation.

y = mx + b

y = y

m = slope =
`-(3)/(4)`

x = x

b = y-intercept = 5