Find the Slope 4x-1=3y+5

$4 x - 1 = 3 y + 5$

Rewrite in slope-intercept form.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Rewrite the equation as $3 y + 5 = 4 x - 1$ .

$3 y + 5 = 4 x - 1$

Move all terms not containing $y$ to the right side of the equation.

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Subtract $5$ from both sides of the equation.

$3 y = 4 x - 1 - 5$

Subtract $5$ from $- 1$ .

$3 y = 4 x - 6$

Divide each term by $3$ and simplify.

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Divide each term in $3 y = 4 x - 6$ by $3$ .

$\frac{3 y}{3} = \frac{4 x}{3} + \frac{- 6}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 y}{3} = \frac{4 x}{3} + \frac{- 6}{3}$

Divide $y$ by $1$ .

$y = \frac{4 x}{3} + \frac{- 6}{3}$

Divide $- 6$ by $3$ .

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

Rewrite in slope-intercept form.

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

Using the slope-intercept form, the slope is $\frac{4}{3}$ .

$m = \frac{4}{3}$

Find the Slope 4x-1=3y+5

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