# What is the Equation of the Line that Passes through the Points (−2, 1) and (1, 10)?

We will be using the two-point form of a line to solve this.

## Answer: The Equation of the Line that Passes through the Points (−2, 1) and (1, 10) is y = 3x + 7

Let's solve this step by step.

**Explanation:**

Given that, (x_{1}, y_{1}) = (−2, 1) and (x_{2}, y_{2}) = (1, 10)

The two-point form of a line passing through these two points (x_{1}, y_{1}) and (x_{2}, y_{2}) is:

(y − y_{1}) = [(y_{2} − y_{1}) (x − x_{1})] / (x_{2} − x_{1})

⇒ (y − y_{1}) (x_{2} − x_{1}) = (y_{2} − y_{1}) (x − x_{1})

Substitute the values of points (x_{1}, y_{1}) and (x_{2}, y_{2})

(y − 1) (1 − {-2}) = (10 − 1) (x − {-2})

(y − 1) (3) = (9) (x + 2)

3y - 3 = 9x + 18

3y = 9x + 21

y = 3x + 7