The equation of a line is given below. \[ 11 x-4 y=22 \] Find the \( x \)-intercept and the \( y \)-intercept. Then use them to aranh the line

To find the \( x \)-intercept, set \( y = 0 \) in the equation \( 11x - 4y = 22 \): \[ 11x - 4(0) = 22 \] \[ 11x = 22 \] \[ x = 2 \] Thus, the \( x \)-intercept is (2, 0). Next, to find the \( y \)-intercept, set \( x = 0 \): \[ 11(0) - 4y = 22 \] \[ -4y = 22 \] \[ y = -\frac{22}{4} \] \[ y = -5.5 \] So, the \( y \)-intercept is (0, -5.5). Now, with the intercepts (2, 0) and (0, -5.5), you can sketch the line. Simply plot these points on a Cartesian plane and draw a straight line through them. Voila! Your line is ready to go. To get the most out of your calculations, always double-check by substituting back into the original equation to make sure the points satisfy it. A common mistake is forgetting to properly format your points into coordinates or miscalculating fractions. It's all part of the learning process!