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Find the y-intercept of the line $y=\dfrac{1}{4}x+1$ .

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Evaluate integers raised to rational exponents

Full solution

Q. Find the y-intercept of the line

y=\dfrac{1}{4}x+1

.

Determine y-intercept: To find the y-intercept of a line, we need to determine the value of $y$ when $x$ is equal to $0$ .
Substitute $x=0$ : Substitute $x = 0$ into the equation $y = (\frac{1}{4})x + 1$ . $\newline$ $y = (\frac{1}{4})(0) + 1$
Calculate y value: Calculate the value of y after substitution. $\newline$ y = $0 + 1$ $\newline$ y = $1$
Identify y-intercept point: The y-intercept is the point on the line where it crosses the y-axis, which is when $x = 0$ . The calculated value of $y$ is the y-coordinate of the y-intercept.

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