Question

The line \(2x - 3y = 6\) intersects x-axis at

• A. (0, --2)
• B. (0, 3)
• C. (--2, 0)
• D. (3, 0)

Answer 1

The Correct Option is D

Given:
Equation of the line:
\[ 2x - 3y = 6 \]

Step 1: Find the point of intersection with x-axis
At the x-axis, \(y = 0\). Substitute into the equation:
\[ 2x - 3(0) = 6 \implies 2x = 6 \implies x = 3 \]

Step 2: Write the coordinates of the point
\[ (3, 0) \]

Final Answer:
The line intersects the x-axis at
\[ \boxed{(3, 0)} \]