What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)?

Coordinate Geometry is one of the most important concepts which are asked frequently in exams. 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 (3, 6) and (−2, 1) is y = x + 3.

Let's solve this step by step.

**Explanation:**

Given that, (x_{1}, y_{1}) = (−2, 1) and (x_{2}, y_{2}) = (3, 6)

We need to find the slope first.

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

Substituting the values,

Slope(m) = (6 - 1) / (3 - (-2))

Slope(m) = 5/5

Slope(m) = 1

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

Substituting the values, we get (y - 1) = 1 × (x + 2) ⇒ y = x + 3.