Problem

Find the equation of the line given the following information. Write the answer in slope-intercept form if possible. The slope is $-\frac{4}{5}$, and the $y$-intercept is $(0,3)$.
The equation of the line in slope-intercept form $(y=m x+b)$ is

Answer

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Answer

Final Answer: The equation of the line is \(\boxed{y = -\frac{4}{5}x + 3}\).

Steps

Step 1 :We are given the slope $m$ and the y-intercept $b$. The slope-intercept form of the line is $y = mx + b$.

Step 2 :Substitute the given values into this equation to find the equation of the line.

Step 3 :Given: m = -\(\frac{4}{5}\), b = 3

Step 4 :Substitute these values into the equation: y = -\(\frac{4}{5}\)x + 3

Step 5 :Final Answer: The equation of the line is \(\boxed{y = -\frac{4}{5}x + 3}\).

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