Questions: Question 1 (1.5 points) Find the x-intercept for the equation below. Reduce your answer, if your answer is a fraction, you may use the "/" key. For example, one-third can be typed as 1 / 3. Give your answer as an ordered pair. 4 y - 3 x = 9

Question 1 (1.5 points) Find the x-intercept for the equation below. Reduce your answer, if your answer is a fraction, you may use the "/" key. For example, one-third can be typed as 1 / 3. Give your answer as an ordered pair. 4 y - 3 x = 9
Transcript text: Question 1 (1.5 points) Find the x-intercept for the equation below. Reduce your answer, if your answer is a fraction, you may use the "/" key. For example, one-third can be typed as $1 / 3$. Give your answer as an ordered pair. \[ 4 y-3 x=9 \]
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Solution

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Find the x-intercept for the equation \(4y - 3x = 9\).

Step 1: Understand the x-intercept

The x-intercept occurs where \(y = 0\). Substitute \(y = 0\) into the equation to solve for \(x\).

Step 2: Substitute \(y = 0\) into the equation

Substitute \(y = 0\) into \(4y - 3x = 9\):
\[ 4(0) - 3x = 9
\]
Simplify:
\[ -3x = 9
\]

Step 3: Solve for \(x\)

Divide both sides by \(-3\):
\[ x = \frac{9}{-3}
\]
Simplify:
\[ x = -3
\]

Step 4: Write the x-intercept as an ordered pair

The x-intercept is the point where \(x = -3\) and \(y = 0\). Thus, the ordered pair is \((-3, 0)\).

The x-intercept is \(\boxed{(-3, 0)}\).

The x-intercept is \(\boxed{(-3, 0)}\).

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