Questions: Enter the correct answer that completes the sentence below. The x-intercept of the graph of 5x+4y=20 is . (Type an ordered pair.)

Enter the correct answer that completes the sentence below. The x-intercept of the graph of 5x+4y=20 is . (Type an ordered pair.)
Transcript text: Enter the correct answer that completes the sentence below. The $x$-intercept of the graph of $5 x+4 y=20$ is $\square$ . (Type an ordered pair.)
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Solution

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Solution Steps

Step 1: Set \( y = 0 \) to Find the \( x \)-Intercept

To find the \( x \)-intercept of the line given by the equation \( 5x + 4y = 20 \), we set \( y = 0 \). This is because the \( x \)-intercept occurs where the line crosses the \( x \)-axis, and at this point, the \( y \)-coordinate is zero.

Step 2: Solve for \( x \)

Substituting \( y = 0 \) into the equation, we have: \[ 5x + 4(0) = 20 \] Simplifying, we get: \[ 5x = 20 \] To solve for \( x \), divide both sides by 5: \[ x = \frac{20}{5} = 4 \]

Final Answer

\(\boxed{(4, 0)}\)

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