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A line has a slope of $3$ and a $y$ -intercept of $-4$ . 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

-4

. 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 $3$ and the y-intercept $b$ as $-4$ . Substituting these values into the equation $y = mx + b$ gives us $y = 3x - 4$ .

More problems from Write a linear equation from a slope and y-intercept

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\newline

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y

-intercept of the line

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\newline

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\frac{-2}{3}

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\newline

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has an equation of

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, which is perpendicular to line

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\newline

Write the equation in slope-intercept form.

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Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

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Determine the standard form of the following equation:

\newline

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