What is the slope of the line that passes through the given points (3, 2) and (5, 12)?

Solution: 

The slope of a line can be determined by using two points from which the line passes.

Let x₁ = 3, y₁ = 2 and x₂ = 5, y₂ = 12

The formula for slope(m) = (y₂ - y₁) / (x₂ - x₁) , where (x₁, y₁) and (x₂, y₂) are the two points.

Put the values of x₁, y₁ and x₂, y₂ in the slope,

Slope(m) = (12 - 2)/(5 - 3)

m = 10/2

m = 5

The slope of the line passing through points (3, 2) and (5, 12) is 5.

We can also verify the answer using the slope calculator.

A positive slope always indicates an increasing graph.

Therefore, 5 is the slope of the line that passes through the given points (3, 2) and (5, 12).

What is the slope of the line that passes through the given points (3, 2) and (5, 12)?

Summary:

5 is the slope of the line that passes through the given points (3, 2) and (5, 12).