What is the equation of the straight line passing through the points (2,3) and (3,5)?

There are three steps to solving these types of straight line problems. 1) Find the gradient (slope) of the line. 2) Find the point slope formula. 3) Solve for y.1) The gradient (m) of the line between any two points (x₁, y₁) and (x₂, y₂) is given by m = (y₂-y₁)/(x₂-x₁). It does not matter which order we label the points in. In this case, we have m = (5-3)/(3-1) = 2/1 = 2. The gradient of the line is 2.2) The point slope formula is given by y - y₁ = m(x - x₁). Using (2,3) as (x₁, y₁) and m = 2 from part 1), we have y - 3 = 2(x - 2)3) Expanding the brackets on the right-hand side gives y - 3 = 2x - 4. Adding 3 to both sides of the equation gives y = 2x - 1. Therefore, the equation of the straight line is given by y = 2x - 1.