Answer:
3x + y = 20
Step-by-step explanation:
The equation of line passing through two points is determined by formula:
[tex]y-y_{1}=\frac{y_{2}-y_{1}}{x_{2} - x_{1}}(x - x_{1})[/tex]
Here, (x₁ , y₁) = (4, 8)
and (x₂, y₂) = (6, 2)
Putting these value in above formula. We get,
[tex]y-8=\frac{2-8}{6 - 4}(x - 4)[/tex]
⇒ [tex]y-8=\frac{-6}{2}(x - 4)[/tex]
⇒ ( y - 8) = -3 (x - 4)
⇒ y - 8 = -3x + 12
⇒ 3x + y = 20
which is required equation.
