Questions: Given the equation (y=-5 x-4) The (x) intercept is: The (y) intercept is:

Given the equation (y=-5 x-4) The (x) intercept is: The (y) intercept is:
Transcript text: Given the equation $y=-5 x-4$ The $x$ intercept is: $\square$ The $y$ intercept is: $\square$
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Solution

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Solution Steps

Step 1: Find the x-intercept

To find the x-intercept of the equation \( y = -5x - 4 \), we set \( y = 0 \) and solve for \( x \).

\[ 0 = -5x - 4 \]

Solving for \( x \), we get:

\[ 5x = -4 \quad \Rightarrow \quad x = -\frac{4}{5} = -0.8000 \]

Step 2: Find the y-intercept

To find the y-intercept of the equation \( y = -5x - 4 \), we set \( x = 0 \) and solve for \( y \).

\[ y = -5(0) - 4 = -4 \]

Final Answer

The x-intercept is \(\boxed{-0.8000}\).

The y-intercept is \(\boxed{-4}\).

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