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.)

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.)

Solution

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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