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A line has a slope of $-\frac{2}{5}$ and a $y$ -intercept of $\frac{4}{5}$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Slope-intercept form: write an equation

Full solution

Q. A line has a slope of

-\frac{2}{5}

and a

y

-intercept of

\frac{4}{5}

. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Identify Form: Identify the slope-intercept form of a linear equation. $\newline$ The slope-intercept form of a linear equation is given by $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Insert Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-\frac{2}{5}$ and the y-intercept $b$ as $\frac{4}{5}$ . Substituting these values into the slope-intercept form, we get $y = \left(-\frac{2}{5}\right)x + \left(\frac{4}{5}\right)$ .

More problems from Slope-intercept form: write an equation

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-intercept of the line

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Question

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q

, which is perpendicular to line

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\newline

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Question

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

\newline

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\newline

\newline

\text{(A)horizontal line}

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\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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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

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