Final answer:
The slope-intercept equation of the line is y = (-5/3)x - 2.
Step-by-step explanation:
The slope-intercept equation of a line is in the form y = mx + b, where m represents the slope and b represents the y-intercept. To find the equation of the line that goes through the points (-3, 3) and (0, -2), we need to find the values of m and b.
First, we calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values (-3, 3) and (0, -2), we get m = (-2 - 3) / (0 - (-3)) = -5/3.
Next, we substitute the coordinates of one of the points into the equation. Let's use (-3, 3): 3 = (-5/3)(-3) + b. Simplifying this equation, we get 3 = 5 + b, which means b = -2.
Therefore, the slope-intercept equation of the line is y = (-5/3)x - 2.