Find the missing value so that the line passing through the points has the given slope (7, 1) and (x, 4); m= 3/4

Answer 1

Let P₁: (x₁, y₁) = (7,1) and P₂: (x₂, y₂) = (x,4)

Slope m = 3 / 4 = (Change in y) / (Change in x) = (y₂ - y₁) / (x₂ - x₁)

Therefore: 3 / 4 = (4 - 1) / (x - 7)

Cross-multiply: 3 (x - 7) = 12 and solve to find x.

Answer 2

(4 - 1) / (x - 7) = 3/4

Cross multiply to get 3(x - 7) = 12

Solve for x.