Bunuel wrote:

Line p lies on a coordinate plane. What is the area of the region bounded by the x-axis, the y-axis and line p?

(1) The slope of line p is −5/3.

(2) The y-intercept of line p is 10.

Kudos for a correct solution.

Let the equation of the line be y=mx+c. Area of triangle = 1/2*x-intercept*y-intercept

from 1- m = -5/3, no info on the intercept, x intercept = 3c/5, y-intercept = c- can be anything NSF

from 2- y intercept = 10, so line passes through (0,10). X - intercept is not known -NSF

combined, c= 10 = y-intercept, x-intercept = 3c/5 = 6

area = 1/2*10*6 = 30.

Answer : c?