Question

find the area of the right triangle bounded by the x-axis and y-axis, and the line 3x+5y-15=0.

Answer 1

consider the line AB whose equation
3x+5y=15
if y=0
x=5
B(5,0)
if x=0
y=3
A(0,3)
Area = 1/2* Base* height
Area=1/2* OB*AO
OB=5 units
AO=3 units
Area=1/2*5*3=7.5 square unit