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A line has a slope of $-3$ 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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Write a linear equation from a slope and y-intercept

Full solution

Q. A line has a slope of

-3

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 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. $\newline$ Given the slope $m$ is $-3$ and the y-intercept $b$ is $6$ , we substitute these values into the equation $y = mx + b$ to get $y = -3x + 6$ .

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