Find the \( x \) and \( y \) intercepts of the equation: \( -2 x-3 y=-24 \) The intercepts are: \( x \) intercept \( =\square, 0) \) \( y \) intercept \( =(0, \square) \) Question Help: Video Submit Ouestion

To find the \( x \) and \( y \) intercepts of the equation \( -2x - 3y = -24 \), we start by finding the \( x \) intercept. Set \( y = 0 \): \[ -2x - 3(0) = -24 \implies -2x = -24 \implies x = 12 \] So, the \( x \) intercept is \( (12, 0) \). Now, for the \( y \) intercept, set \( x = 0 \): \[ -2(0) - 3y = -24 \implies -3y = -24 \implies y = 8 \] Thus, the \( y \) intercept is \( (0, 8) \). The intercepts are: \( x \) intercept \( = (12, 0) \) \( y \) intercept \( = (0, 8) \)