A line has a slope of 1/3 and a y-intercept of -21. 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. The slope-intercept form of a linear equation is given by 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. We are given the slope (m) as 1/3 and the y-intercept (b) as -21. Substituting these values into the equation y = mx + b gives us y = (1/3)x + (-21).Simplify Equation: Simplify the equation if necessary. In this case, the equation y = (1/3)x - 21 is already in its simplest form, so no further simplification is needed.

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A line has a slope of $\frac{1}{3}$ and a $y$ -intercept of $-21$ . Write its equation in slope-intercept form. $\newline$ Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Algebra 1

Slope-intercept form: write an equation

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Q. A line has a slope of

\frac{1}{3}

and a

y

-intercept of

-21

. Write its equation in slope-intercept form.

\newline

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 given by $y = mx + b$ , 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 $\frac{1}{3}$ and the y-intercept $b$ as $-21$ . Substituting these values into the equation $y = mx + b$ gives us $y = \left(\frac{1}{3}\right)x + (-21)$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = \frac{1}{3}x - 21$ is already in its simplest form, so no further simplification is needed.