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A line has a slope of $-3$ and passes through the point $(-7,1)$ . 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

-3

and passes through the point

(-7,1)

. 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 $b$ . Given slope $m = -3$ and point $(-7, 1)$ . Substitute into the equation: $1 = -3(-7) + b$ . Calculate: $1 = 21 + b$ . Solve for $b$ : $b = 1 - 21 = -20$ .
Write line equation: Step $3$ : Write the equation of the line using the slope and y-intercept. $\newline$ Substitute $m = -3$ and $b = -20$ into $y = mx + b$ . $\newline$ Equation: $y = -3x - 20$ .

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

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\newline

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Question

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q

, which is perpendicular to line

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?

\newline

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\newline

Posted 2 months ago

Question

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

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 3 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

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Posted 3 months ago

Question

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\newline

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\newline

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