# What is the equation of the line that contains points (8, 10) and (–4, 2)?

We can make use of the two-point form of the equation of a line.

## Answer: The equation of the line that contains points (8, 10) and (–4, 2) is given as 3y - 2x = 14.

Let's go through the step-by-step solution to find the final equation.

**Explanation:**

Given points: (8, 10) and (-4, 2)

We can make use of the two-point form, to calculate the equation of the line.

Firstly, for applying the two-point form, we need the slope of the line.

slope = m = (y2 - y1) / (x2 - x1)

m = (2 - 10) / (-4 - 8)

m = -8 / -12

m = 2 / 3

Now applying the two-point form of the equation, taking (8, 10) as the input point, we get

(y - y1) = m (x - x1)

⇒ (y - 10) = 2/3(x - 8)

⇒ 3y - 30 = 2x - 16

⇒ 3y - 2x = 14