Answer:
Step-by-step explanation: To find the slope of a line passing through two points (x1, y1) and (x2, y2), you can use the following formula:Slope (m) = (y2 - y1) / (x2 - x1)In your case, the two points are (2, -2) and (-3, -17). You can plug these values into the formula:Slope (m) = (-17 - (-2)) / (-3 - 2)Simplify the numerator and denominator:Slope (m) = (-17 + 2) / (-5)Now, continue simplifying:Slope (m) = (-15) / (-5)Simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 5:Slope (m) = (-15 / 5) / (-5 / 5)Slope (m) = (-3) / (-1)When you divide a negative number by a negative number, the result is positive:Slope (m) = 3So, the slope of the line passing through the points (2, -2) and (-3, -17) is 3.