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A line has a slope of $-\frac{5}{6}$ and a $y$ -intercept of $-6$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Slope-intercept form: write an equation

Full solution

Q. A line has a slope of

-\frac{5}{6}

and a

y

-intercept of

-6

. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Identify Linear Equation Form: Identify the slope-intercept form of a linear equation. $\newline$ The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Insert Given Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-\frac{5}{6}$ and the y-intercept $b$ as $-6$ . Substituting these values into the slope-intercept form, we get $y = \left(-\frac{5}{6}\right)x + \left(-6\right)$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = \frac{-5}{6}x - 6$ is already in its simplest form. There is no need for further simplification.

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