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A line has a slope of $-1$ and a $y$ -intercept of $-20$ . 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

-1

and a

y

-intercept of

-20

. 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 slope $m$ : $-1$ $\newline$ Given y-intercept $b$ : $-20$ $\newline$ Substitute $-1$ for $m$ and $-20$ for $b$ into the equation $y = mx + b$ .
Write Equation: Write the equation of the line. $\newline$ The equation of the line is $y = -1x - 20$ .

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

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satisfy the equation

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Rewrite the following equation in slope-intercept form.

\newline

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y

-intercept of the line

14x - 16y = -10

\newline

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\frac{-2}{3}

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Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

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p

has an equation of

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, which is perpendicular to line

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, includes the point

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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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