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A line has a slope of $-7$ and passes through the point $(2,7)$ . 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

-7

and passes through the point

(2,7)

. Write its equation in slope-intercept form.

\newline

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

Identify Form: Identify the slope-intercept form of a linear equation. Slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Find Y-Intercept: Use the given slope and point to find the y-intercept ( $b$ ). $\newline$ Given slope ( $m$ ) = $-7$ and point $(2, 7)$ . $\newline$ Substitute into $y = mx + b$ : $7 = -7 \times 2 + b$ . $\newline$ $7 = -14 + b$ . $\newline$ $b = 7 + 14$ . $\newline$ $b = 21$ .
Write Equation: Write the equation of the line using the slope and y-intercept. $\newline$ Substitute $m = -7$ and $b = 21$ into $y = mx + b$ . $\newline$ Equation: $y = -7x + 21$ .

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

Question

(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

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Write your answer as an integer or as a simplified proper or improper fraction.

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Question

Rewrite the following equation in slope-intercept form.

\newline

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

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y

-intercept of the line

14x - 16y = -10

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Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Posted 2 months ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

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Question

Find the slope of the line

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\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 2 months ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\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

1

Posted 3 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 2 months ago