Find the slope of the line through (–9, –10) and (–2, –5).

m = (-5-(-10))/(-2-(-9)) = 5/7

To find the slope of a line passing through two given points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Given the points (-9, -10) and (-2, -5), we can substitute the coordinates into the formula to find the slope.

Let's label the first point as (x1, y1) and the second point as (x2, y2):

x1 = -9
y1 = -10
x2 = -2
y2 = -5

Plug these values into the formula:

slope = (-5 - (-10)) / (-2 - (-9))

Simplifying further:

slope = (-5 + 10) / (-2 + 9)

Adding and subtracting:

slope = 5 / 7

Therefore, the slope of the line passing through (-9, -10) and (-2, -5) is 5/7.

To find the slope of a line through two given points, we can use the slope formula, which is:

slope = (y2 - y1) / (x2 - x1)

Here, (x1, y1) are the coordinates of the first point, and (x2, y2) are the coordinates of the second point.

Given the coordinates of the points as (-9, -10) and (-2, -5), we can substitute these values into the slope formula:

slope = (-5 - (-10)) / (-2 - (-9))

Simplifying this expression:

slope = (-5 + 10) / (-2 + 9)
slope = 5 / 7

So, the slope of the line passing through (-9, -10) and (-2, -5) is 5/7.