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A line has a slope of $-\frac{2}{5}$ and a $y$ -intercept of $\frac{4}{5}$ . 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{2}{5}

and a

y

-intercept of

\frac{4}{5}

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

Identify 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 Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-\frac{2}{5}$ and the y-intercept $b$ as $\frac{4}{5}$ . Substituting these values into the slope-intercept form, we get $y = \left(-\frac{2}{5}\right)x + \left(\frac{4}{5}\right)$ .

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