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Find the slope of the line $y = \frac{2}{9}x + \frac{6}{13}$ . Write your answer as an integer or as a simplified proper or improper fraction.

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Slope-intercept form: find the slope and y-intercept

Full solution

Q. Find the slope of the line

y = \frac{2}{9}x + \frac{6}{13}

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

Identify 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.
Compare to Form: Compare the given equation to the slope-intercept form. $\newline$ The given equation is $y = \frac{2}{9}x + \frac{6}{13}$ . Comparing this to the slope-intercept form, we can see that the coefficient of $x$ , which is $\frac{2}{9}$ , represents the slope $m$ .
State Slope: State the slope of the given line. $\newline$ Since the coefficient of $x$ in the given equation is $\frac{2}{9}$ , the slope of the line is $\frac{2}{9}$ .

More problems from Slope-intercept form: find the slope and y-intercept

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satisfy the equation

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\newline

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

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Rewrite the following equation in slope-intercept form.

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-intercept of the line

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r

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Question

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, which is perpendicular to line

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, includes the point

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?

\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

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\newline

\newline

\text{(A)horizontal line}

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\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

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B

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B

C

are integers whose GCF is

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Posted 3 months ago

Question

A line with a slope of

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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}})

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