Questions: Find the x-intercept of the line: 8x-4y=-24

Transcript text: Find the $x$-intercept of the line: \[ 8 x-4 y=-24 \] A 3 B -3 C 6 (D) -6

Solution

Solution Steps

To find the $x$-intercept of a line, we set $y = 0$ in the equation and solve for $x$. This will give us the point where the line crosses the $x$-axis.

Step 1: Set $ y = 0 $ in the Equation

To find the $x$-intercept of the line, we set $y = 0$ in the equation $8x - 4y = -24$. This simplifies the equation to: \[ 8x = -24 \]

Step 2: Solve for $ x $

Next, we solve the equation $8x = -24$ for $x$ by dividing both sides by 8: \[ x = \frac{-24}{8} = -3 \]

Final Answer

$\boxed{-3}$

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