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A line has a slope of $-2$ and passes through the point $(-2,-3)$ . Write its equation in slope-intercept form. $\newline$ 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 a point

Full solution

Q. A line has a slope of

-2

and passes through the point

(-2,-3)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Identify slope-intercept form: Step $1$ : Identify the slope-intercept form of a line. $\newline$ The slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Find y-intercept: Step $2$ : Use the given slope and point to find the y-intercept $b$ . $\newline$ Given slope $m = -2$ and point $(-2, -3)$ . $\newline$ Substitute these values into the slope-intercept equation: $\newline$ $-3 = -2(-2) + b$ $\newline$ $-3 = 4 + b$ $\newline$ $b = -3 - 4$ $\newline$ $b = -7$
Write equation of line: Step $3$ : Write the equation of the line using the slope and y-intercept. $\newline$ Substitute $m = -2$ and $b = -7$ into $y = mx + b$ : $\newline$ $y = -2x - 7$

More problems from Write a linear equation from a slope and a point

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Question

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\newline

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\newline

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Question

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

\newline

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\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

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Question

Rewrite the following equation in standard form.

\newline

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\newline

Hint: The standard form of a linear equation is

\newline

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B

C

are integers whose GCF is

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Question

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\newline

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