Convert from standard form to Slope-Intercept Form. \( 4 x-6 y=-24 \)

To convert the equation \( 4x - 6y = -24 \) into slope-intercept form, you need to isolate \( y \). First, subtract \( 4x \) from both sides: \[ -6y = -4x - 24 \] Next, divide every term by -6 to solve for \( y \): \[ y = \frac{2}{3}x + 4 \] Now you've got it in slope-intercept form, \( y = mx + b \) where \( m = \frac{2}{3} \) (the slope) and \( b = 4 \) (the y-intercept). Finding the slope and y-intercept is useful in real life! You can use them to understand trends, like predicting how far a car travels over time or how much money you might earn over the years. Graphing the equation is another fun aspect! Plot the y-intercept at \( (0, 4) \) and use the slope \( \frac{2}{3} \) to rise 2 units and run 3 units to the right. You can easily visualize how the equation behaves on a graph, making it much more approachable and intuitive!