Question

The equation of the line passing through the points (−1, 2) and (4, 0) is given by ax + by = 16. What is the value of b?

Answer 1

Answer:

8/5

Step-by-step explanation:

Slope of the line = (-1-4)/(2-0)= -5/2

Equation of the line :

=> y - y1 = m(x - x1)

=> y - 0 = (-5/2)(x - 4)

=> 2(y - 0) = - 5x + 20

=> 2y + 5x = 20

To make the RHS 16, divide both sides by 20 and multiply by 16:

=> (2y/20)*16 + (5x/20)*16 = (20/20)*16

=> 8y/5 + 4x = 16

compare the equation with ax + by = 16 for y, b = 8/5