Question

a line with a slope of 2 passes through (k,3) and (6,k) on the coordinate grid. what is the value of k?

Answer 1

Answer:

k = 5

Step-by-step explanation:

Calculate the slope m and then equate to 2

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (k, 3) and (x₂, y₂ ) = (6, k)

m = $\frac{k-3}{6-k}$ = 2 ( cross- multiply )

2(6 - k) = k - 3

12 - 2k = k - 3 ( subtract k from both sides )

12 - 3k = - 3 ( subtract 12 from both sides )

- 3k = - 15 ( divide both sides by - 3 )

k = 5