What is the slope of the line passing through the points (-1, 3) and (4, -7)?

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

The formula to find the slope of the line is 

m = (y₂ - y₁) /  (x₂ - x₁)

Where (x₁, y₁) and (x₂, y₂) are the points on the line

It is given that

(-1, 3) and (4, -7) are the points on the line

Substituting the value in the formula

m = (-7 - 3) / (4 - (-1))

By further calculation

m = -10 / 5

So we get

m = -2

Therefore, the slope of the line is -2.

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What is the slope of the line passing through the points (-1, 3) and (4, -7)?

Summary:

The slope of the line passing through the points (-1, 3) and (4, -7) is -2.