How do you find the slope given 3x+4y=22?

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How do you find the slope given 3x+4y=22?

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Answer 1 · 2018-05-23T03:14:36

$- \frac{3}{4}$ $-3/4$

Explanation:

To determine the slope, we need to put this business in slope-intercept form, that is, $y = m x + b$ $y=mx+b$ . Let's start by subtracting $3 x$ $3x$ from both sides. We get

$4 y = - 3 x + 22$ $4y=-3x+22$

Lastly, we can divide everything by $4$ $4$ to get

$y = - \frac{3}{4} x + \frac{11}{2}$ $y=-3/4x+11/2$

Our slope is given by the coefficient of $x$ $x$ , thus the slope is

$- \frac{3}{4}$ $-3/4$

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How do you find the slope given 3x+4y=22?

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