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Find the slope of the line $y = 10x + \frac{5}{3}$ . 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 = 10x + \frac{5}{3}

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

Identify Form: Step $1$ : Identify the form of the equation. $\newline$ The equation given is $y = 10x + \frac{5}{3}$ . This is in the slope-intercept form, which is $y = mx + b$ , where $m$ represents the slope and $b$ represents the y-intercept.
Extract Slope: Step $2$ : Extract the slope from the equation. $\newline$ From $y = 10x + \frac{5}{3}$ , it's clear that the coefficient of $x$ is $10$ . Therefore, the slope ( $m$ ) of the line is $10$ .

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