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A line that includes the point $(-10,4)$ has a slope of $-\frac{1}{8}$ . 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. $\newline$ $y -$ $=$ $(x -$ __ $)$

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Point-slope form: write an equation

Full solution

Q. A line that includes the point

(-10,4)

has a slope of

-\frac{1}{8}

. 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 -

______

=

______

(x -

______

)

Identify Point-Slope Form: Identify the point-slope form of a linear equation. $\newline$ Point-slope form is given by the equation $y - y_1 = m(x - x_1)$ , where $m$ is the slope of the line and $(x_1, y_1)$ is a point on the line.
Substitute Point and Slope: Substitute the given point and slope into the point-slope form. $\newline$ We have the point $(-10, 4)$ and the slope $-\frac{1}{8}$ . Substituting these values into the point-slope form, we get: $\newline$ $y - 4 = \left(-\frac{1}{8}\right)(x - (-10))$
Simplify the Equation: Simplify the equation. $\newline$ Since $x - (-10)$ is equivalent to $x + 10$ , we can rewrite the equation as: $\newline$ $y - 4 = \left(-\frac{1}{8}\right)(x + 10)$ $\newline$ This is the equation of the line in point-slope form.

More problems from Point-slope form: write an equation

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\newline

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\newline

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r

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\newline

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\newline

\_\_\_\_\_

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\newline

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Question

p

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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 1 month 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 2 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 2 months ago

Question

A line with a slope of

9

passes through the point

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. 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 1 month ago