# What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?

Straight lines are important concepts that form an integral part of geometry. These lines can be represented in the cartesian plane using linear equations.

## Answer: The equation in point-slope form of the line passing through (−2, 0) and (2, 8) is y = 2x + 4.

Let's understand the solution in detail.

**Explanation:**

We know that the standard equation for the point-slope form is y - y_{1} = m (x - x_{1}), where m is the slope of the line.

We can find the slope using the slope formula.

Hence, slope m = (8 - 0) / [2 - (-2)] = 2

Now, we substitute x_{1} = -2 and y_{1} = 0

Hence, the equation is y - 0 = 2 [x - (-2)]

⇒ y = 2x + 4