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Find the equation of a line whose slope is $-\frac{4}{5}$ and whose $y$ -intercept is $(0,7)$ .

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Slope-intercept form: write an equation

Full solution

Q. Find the equation of a line whose slope is

-\frac{4}{5}

and whose

y

-intercept is

(0,7)

.

Identify Linear Equation Form: Identify the slope-intercept form of a linear equation. $\newline$ The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Insert Slope and Y-Intercept: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-\frac{4}{5}$ and the y-intercept $b$ as $7$ . Substituting these values into the equation $y = mx + b$ gives us $y = \left(-\frac{4}{5}\right)x + 7$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = \frac{-4}{5}x + 7$ is already in its simplest form, so no further simplification is needed.

More problems from Slope-intercept form: write an equation

Question

(0, 4)

satisfy the equation

y = x

?

\newline

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

Posted 2 months ago

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y = -4x + \frac{2}{5}

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Question

Rewrite the following equation in slope-intercept form.

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

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Question

y

-intercept of the line

14x - 16y = -10

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Posted 1 month ago

Question

q

\frac{-2}{3}

r

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. What is the slope of line

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\newline

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

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\_\_\_\_\_

Posted 1 month ago

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Find the slope of the line

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\newline

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Posted 1 month 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 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