a) Given the two (2) pairs of points (2, -3) and (4, 5) find the equation of the line y = mx + b
(Hint: First find slope, and then the equation of a line)

b) Given the two pairs of points (2, -3) and (4, 5) find the equation of the line Y = a₀ + a₁ x that passes through the given points, by solving two different equations simultaneously.

Reasoning:

We know that the equation of the line is given b y Y = a₀ + a₁ x. Since the point (2, -3) is on the line -3 = a₀ + 2 a₁ and since the point (4, 5) is on the line 5 = a₀ +4 a₁

Solve the two equations simultaneously to obtain a and a

- 3 = a₀ + 2 a₁

5 + a₀ + 4a₁

c) Compare answer a) and answer b)