Final answer:
The slope-intercept form of the equation through the point (2,-2) with slope 3/2 is y = (3/2)x - 2.
Step-by-step explanation:
The slope-intercept form of an equation is given by y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the given slope is 3/2, which means for every increase of 1 on the horizontal axis, there is a rise of 3/2 on the vertical axis. To find the equation through the point (2,-2), substitute the slope and the coordinates into the equation. The equation would be y = (3/2)x + (-2) or y = (3/2)x - 2.