The equation of a line is 3x + 4y - 7 = 0. Find the slope of the line.

$- \frac{3}{5}$

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$- \frac{1}{4}$

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$- \frac{3}{4}$

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$\frac{3}{4}$

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Solution

The correct option is C
$- \frac{3}{4}$

We know that if we have a line of the form $y = m x + c$ , then the slope of the line will be $m$ .

Given, equation of line is 3x+ 4y - 7 = 0

$\Rightarrow 4 y = - 3 x + 7$
$\Rightarrow y = - \frac{3}{4} x + \frac{7}{4}$
$∴$ Slope of the line is $- \frac{3}{4}$

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