What is the slope of the line that passes through (-2, 7) and (4, 9)?

Solution:

Given, points are

A(-2, 7) B(4, 9)

The equation to find the slope of the line is

m = (y₂ - y₁)/(x₂ - x₁)

Substituting the values

m = (9 - 7)/(4 + 2)

So we get,

m = 2/6

m = 1/3

Therefore, the slope of the line is 1/3.

Example:

What is the slope of the line that passes through (-4, 8) and (2, 10)?

Solution:

Given,

A(-4, 8) B(2, 10)

The equation to find the slope of the line is

m = (y₂ - y₁)/(x₂ - x₁)

Substituting the values

m = (10 - 8)/(2 + 4)

So we get

m = 2/6

m = 1/3

Therefore, the slope of the line is 1/3.

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What is the slope of the line that passes through (-2, 7) and (4, 9)?

Summary

The slope of the line that passes through (-2, 7) and (4, 9) is 1/3.