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

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

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

We will use the formula of slope to find the answer.

**Explanation: **

Let x_{1 }= 3, y_{1 }= 2 and x_{2 }= 5, y_{2 }= 12

The formula for slope(m) = (y_{2} - y_{1}) / (x_{2} - x_{1}) , where (x_{1}, y_{1}) and (x_{2}, y_{2}) are the two points.

Put the value of x_{1}, y_{1} and x_{2}, y_{2} in the formula of 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.