Question

Find the equation of the line that pass through the points (4,8) and (6,2

Answer 1

Answer:

3x + y = 20

Step-by-step explanation:

The equation of line passing through two points is determined by formula:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2} - x_{1}}(x - x_{1})$

Here, (x₁ , y₁) = (4, 8)

and (x₂, y₂) = (6, 2)

Putting these value in above formula. We get,

$y-8=\frac{2-8}{6 - 4}(x - 4)$

⇒ $y-8=\frac{-6}{2}(x - 4)$

⇒ ( y - 8) = -3 (x - 4)

⇒ y - 8 = -3x + 12

⇒ 3x + y = 20

which is required equation.