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

To find the \( x \)-intercept of the line given by the equation \( 8x - 4y = -24 \), we can set \( y = 0 \) and solve for \( x \). Plugging in \( y = 0 \) into the equation: \[ 8x - 4(0) = -24 \] \[ 8x = -24 \] \[ x = -\frac{24}{8} = -3 \] So the \( x \)-intercept is \(-3\). The correct answer is B \(-3\). Now for a bit of fun! Ready for some math history? The concept of intercepts comes from the work of early mathematicians who explored how lines and curves interact with the axes on graphs. Graphing equations started taking shape with René Descartes in the 17th century, laying the foundation for modern coordinate geometry! If you're keen on further honing your skills, consider playing around with different linear equations! By changing coefficients, you can observe how they shift across the graph. It's like artwork, where each line tells a unique story on the coordinate plane. Happy graphing!