Question

Find the equation of the straight line passing through the points (-2, -1) and (7,5).​

Answer 1

Answer:

2x - 3y = 1

Step-by-step explanation:

Given points are (-2 , -1) and (7 , 5)

Slope (m) = (y - y₁) / (x - x₁)

               = (5 - (-1)) / (7 - (-2))

               = 6 / 9

               = 2 / 3

Equation is Y - y₁ = m (X - x₁)

                  Y +1 = 2/3 (X + 2)

                 3Y + 3 = 2X + 4

                2X - 3Y +1 = 0

Verification

sub other point in equation

      2(7) - 3(5) + 1 = 14 - 15 + 1  = 0