Find the slope-intercept form of the line with the given slope and $y$-intercept.
\[
\text { Slope }=-\frac{1}{2} ; y \text {-intercept }=\frac{1}{4}
\]
What is the equation of the line?

Answer

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Answer

Final Answer: The equation of the line is $\boxed{y = -0.5x + 0.25}$.

Steps

Step 1 ：The slope-intercept form of a line is given by the equation $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step 2 ：In this case, we are given that $m = -\frac{1}{2}$ and $b = \frac{1}{4}$.

Step 3 ：We can substitute these values into the equation to find the equation of the line.

Step 4 ：Substituting the values we get $y = -0.5x + 0.25$.

Step 5 ：Final Answer: The equation of the line is $\boxed{y = -0.5x + 0.25}$.