Find the slope of the line −5x+3y=44 if it exists or write undefined if the slope is undefined. You must reduce your answer completely.

Answer 1

Given: -5x +3y = 44

To find the Slope of the line given by the above equation.

Let us rewrite the given equation in the Slope-Intercept form y = mx + b. where m is the slope.

Solve the given equation for y.

-5x + 3y = 44

+ +

5x 5x

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3y = 5x +44 Divide by 3 on both sides and we get

y = 5x + 44

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3 3

Remember that the slope is the coefficient of x; So Slope = 5/3.

Answer 2

We need to get this equation into the form y = mx + b to find the slope m.

First add 5x to both sides:

3y = 5x + 44

Then divide both sides by 3 to get the answer in the correct form:

y = (5/3)x + (44/3)

from this form we can see that the slope is 5/3.