Answer:
1/3 in its simplest form
Explanation:
To find the slope of the line passing through the points (2, -2) and (-7, -5), you can use the slope formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Let's plug in the coordinates of the two points into the formula:
x1 = 2
y1 = -2
x2 = -7
y2 = -5
Now, calculate the slope:
m = (-5 - (-2)) / (-7 - 2)
m = (-5 + 2) / (-7 - 2)
m = (-3) / (-9)
m = 1/3
So, the slope of the line passing through the given points is 1/3 in its simplest form.