# What is the Equation in Point-Slope Form of the Line Passing through (0, 2) and (1, 5)?

We will be using the concept of the Point-Slope Form of a line to solve this.

## Answer: The Equation in Point-Slope Form of the Line Passing through (0, 2) and (1, 5) is y = 3x + 2

Let's solve this step by step.

**Explanation:**

Given that, (x_{1}, y_{1}) = (0, 2) and (x_{2}, y_{2}) = (1, 5)

We need to find the slope first.

Slope(m) = (y_{2} − y_{1}) / (x_{2} − x_{1})

Substituting the values, we get

Slope(m) = (5 - 2) / (1 - 0)

Slope(m) = 3/1

Slope(m) = 3

The point-slope formula states (y − y_{1}) = m (x − x_{1})

Substituting the values (y - 2) = 3(x - 0)