what is the slope of 0,2 and -3,-4

To find the slope of a line given two points, you can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

So, for the points (0, 2) and (-3, -4), the change in y-coordinates is:
-4 - 2 = -6

The change in x-coordinates is:
-3 - 0 = -3

Thus, the slope is:
slope = -6 / -3 = 2

what is the slope of 2,4 and -4,-4

To find the slope of a line given two points, you can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

So, for the points (2, 4) and (-4, -4), the change in y-coordinates is:
-4 - 4 = -8

The change in x-coordinates is:
-4 - 2 = -6

Thus, the slope is:
slope = -8 / -6 = 4/3

What is the slope of -2,-1 and 1,-5

To find the slope of a line given two points, you can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

So, for the points (-2, -1) and (1, -5), the change in y-coordinates is:
-5 - (-1) = -5 + 1 = -6

The change in x-coordinates is:
1 - (-2) = 1 + 2 = 3

Thus, the slope is:
slope = -6 / 3 = -2/1 = -2

To find the slope of a line, you can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, you have two points: (0,2) and (-3,-4). Let's label them as (x₁, y₁) and (x₂, y₂), respectively.

The change in y-coordinates is given by: y₂ - y₁
The change in x-coordinates is given by: x₂ - x₁

Substituting the values, we get:

change in y-coordinates = -4 - 2 = -6
change in x-coordinates = -3 - 0 = -3

Now, we can calculate the slope:

slope = (-6) / (-3) = 2

Therefore, the slope of the line passing through the points (0,2) and (-3,-4) is 2.