Question

if (2k, k) and (3k, 4k) are two points on the graph of a line and k is not equal to 0, what is the slope of the line?

Answer 1

(2k, k) and (3k, 4k)

Slope = (4k  - k )/(3k - 2k)

= 3k / k

= 3

Answer :

3

Answer 2

slope = 3

to calculate the slope (m ) use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2k, k) and (x₂, y₂ ) = (3k, 4k )

m = $\frac{4k-k}{3k-2k}$ = $\frac{3k}{k}$ = 3