Question

Determine the equation of the line joining the points (3, 8) and (2, -5)

Answer 1

Answer:

13x-y = 31

Step-by-step explanation:

(x1, y1) = (3,8)

(x2, y2) = (2, -5)

Slope of the line (m) = (y2-y1) / (x2-x1)

∴ m = (-5-8)/(2-3)

∴ m = (-13)/(-1)

∴ m = 13

Equation of the line is (y - y1) = m (x - x1)

replacing x1 & y1 values in the above equation:

(y-8) = 13(x-3)

∴ y -8 = 13x - 39

∴ y - 13x = 8-39

∴ y-13x = -31

Reversing the equation

13x-y = 31