Question 13

What is the $x$-intercept of the line:
\[
2 x-3 y=-16
\]

Answer

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Answer

Final Answer: The $x$-intercept of the line is $\boxed{-8}$.

Steps

Step 1 ：The equation of the line is $2x - 3y = -16$.

Step 2 ：Set $y = 0$ to find the x-intercept, the equation becomes $2x = -16$.

Step 3 ：Solve for $x$ to find the x-intercept.

Step 4 ：$x = -16 / 2$.

Step 5 ：So, $x = -8$.

Step 6 ：Final Answer: The $x$-intercept of the line is $\boxed{-8}$.