Question

The line 48x-24y=c passes through the point (2,5). What is the value of c ?

Answer 1

c = -24

Explanation:

48x - 24y = c

general equation of the line in slope - intercept form is represented as,

-24y = -48x + c

dividing the whole equation by -24

y = 48/24x - c/24

y = 2x - c/24

as the line is passing through the point (2, 5)

i.e. x, y = 2, 5

5 = 2(2) - c/24

5 = 4 - c/24

5 = 96 - c / 24

5 * 24 = 96 - c

120 = 96 - c

c = 96 - 120 = -24