The distance between the point 4 3 and the inte... - JAMB Mathematics 2024 Question

The intersection of the lines y = 2x + 4 and y = 7 - x occurs when:

2x + 4 = 7 - x

3x = 3

x = 1

Substitute x = 1 into y = 2x + 4 to find y:

y = 2(1) + 4 = 6.

Now, calculate the distance between the point (4, 3) and (1, 6) using the distance formula:

Distance = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) = \(\sqrt{(1 - 4)^2 + (6 - 3)^2}\) = \(\sqrt{9 + 9}\) = \(\sqrt{18}\) = \(3\sqrt{2}\).