# What is the rate of change, the initial value, and the equation of the line that goes through the points #(1, 5)# and #(2,7)#?

##### 1 Answer

Apr 6, 2018

**Rate of Change:** 2

**Initial Value**: 3

**Equation**:

#### Explanation:

The rate of change, or the **slope**, is calculated as

We'll next find the initial value. The **slope-intercept** equation of a line is **initial value**. We have found the slope as

**Point**: (1, 5)

**Equation**:

**Plug In**:

Thus, our initial value is