Question

Please help

A line passes through the points (−4,n) and (2,4n) and has a slope of 6. What is the value of n?

Answer 1

The value of n = 12

Explanation:

Given the points

• (-4, n)

• (2, 4n)

The slope formula

m = y₂-y₁ / x₂ - x₁

`\left(x_1,\:y_1\right)=\left(-4,\:n\right),\:\left(x_2,\:y_2\right)=\left(2,\:4n\right)`

`m=(4n-n)/(2-\left(-4\right))`

`m=(n)/(2)`

Given that the slope = m = 6

Thus, substituting the value

6 = n/2

n = 6 × 2

= 12

Thus, the value of n = 12