Answer:
The value of n = 12
Step-by-step explanation:
Given the points
The slope formula
m = y₂-y₁ / x₂ - x₁
[tex]\left(x_1,\:y_1\right)=\left(-4,\:n\right),\:\left(x_2,\:y_2\right)=\left(2,\:4n\right)[/tex]
[tex]m=\frac{4n-n}{2-\left(-4\right)}[/tex]
[tex]m=\frac{n}{2}[/tex]
Given that the slope = m = 6
Thus, substituting the value
6 = n/2
n = 6 × 2
= 12
Thus, the value of n = 12
