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A line that includes the point $(4,-6)$ has a slope of $-\frac{1}{5}$ . 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

(4,-6)

has a slope of

-\frac{1}{5}

. 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: $y - y_1 = m(x - x_1)$
Given Point and Slope: We have: $\newline$ Point: $(4, -6)$ $\newline$ Slope: $-\frac{1}{5}$ $\newline$ What is the point-slope form of the line? $\newline$ Substitute $-\frac{1}{5}$ for $m$ , $4$ for $x_1$ , and $-6$ for $y_1$ in point-slope form. $\newline$ $y - (-6) = (-\frac{1}{5})(x - 4)$
Substitute Values: Simplify the equation by removing the parentheses around $-6$ . $\newline$ $y + 6 = \left(-\frac{1}{5}\right)(x - 4)$

More problems from Point-slope form: write an equation

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(0, 4)

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?

\newline

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

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\newline

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Posted 1 month ago

Question

q

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r

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\newline

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\newline

\_\_\_\_\_

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\newline

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Posted 1 month ago

Question

p

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q

, which is perpendicular to line

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, includes the point

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. 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

1

Posted 2 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 1 month ago