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A line has a slope of $-\frac{1}{3}$ and a $y$ -intercept of $\frac{5}{3}$ . 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{1}{3}

and a

y

-intercept of

\frac{5}{3}

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

Slope-Intercept Form: The slope-intercept form of a line is given by the equation $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Substitute Values: Given the slope $m$ is $-\frac{1}{3}$ and the y-intercept $b$ is $\frac{5}{3}$ , we can substitute these values into the slope-intercept form equation.
Final Equation: Substituting the given values into the equation, we get $y = (-\frac{1}{3})x + (\frac{5}{3})$ .
Simplify if Necessary: There is no need to simplify further as the equation is already in simplest form with integers and proper fractions.

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\newline

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Question

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