Slope of line AB which contains points A(4, 5) and B(9, 7) is 2/5.

Solution

Slope represented by m of a line given two points on the line (x₁, y₁), (x₂, y₂) is as following

= (y₂ – y₁) / (x₂ – x₁)

Given two points are A(4, 5) and B(9, 7)

So, we have x₁ = 4, x₂ = 9, y₁ = 5, y₂ = 7

Substituting in the above formula, we get

Slope(m) = (7-5)/(9-4) => 2/5

So, the slope of the line is 2/5