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Find the slope of the line $y = \frac{1}{2}x + 4$ . 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{1}{2}x + 4

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

Identify Form: Identify the form of the equation. $\newline$ The equation $y = \frac{1}{2}x + 4$ is in the slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Compare with Form: Compare the given equation with the slope-intercept form. $\newline$ The given equation $y = \frac{1}{2}x + 4$ can be compared to $y = mx + b$ to find the slope ( $m$ ).
Determine Slope: Determine the slope. $\newline$ From the equation $y = \frac{1}{2}x + 4$ , we can see that the coefficient of $x$ is $\frac{1}{2}$ . Therefore, the slope of the line is $\frac{1}{2}$ .

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