Question

Determine the value of B such that the line defined by 8x + By + 92 = 0 passes through the point (-4,12).

Answer 1

8x + By + 92 = 0

(-4; 12) ⇒ x = -4; y = 12

subtitute

8 · (-4) + 12B + 92 = 0
-32 + 12B + 92 = 0
12B + 60 = 0    |subtract 60 from both sides
12B = -60    |divide both sides by 12

B = -5