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A line has a slope of $-4$ and a $y$ -intercept of $-\frac{2}{9}$ . 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

-4

and a

y

-intercept of

-\frac{2}{9}

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

Identify slope-intercept 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 slope and y-intercept: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-4$ and the y-intercept $b$ as $-\frac{2}{9}$ . Substituting these values into the slope-intercept form, we get $y = -4x - \frac{2}{9}$ .

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