A line with a slope of 5/6 passes through the points (0, – 8) and (6,k). What is the value of k? k=

Answer 1

m = rise / run = (y₂ - y₁) / (x₂ - x₁)

where:

1. (x₁, y₁) are the coordinates of the first point in the line
2. (x₂, y₂) are the coordinates of the second point in the line
3. m is the slope

Therefore, we can set up the following algebraic equation to solve for k:

5/6 = (k - -8) / (6 - 0)

5/6 = (k + 8) / 6

5 = k + 8

k = -3

Hope this was helpful.

Answer 2

5/6 = (6 - 0)/(k + 8); 5k + 40 = 36; 5k = - 4; k = - 4/5