A line goes through (2,3),and (8,-2). The line has an X intercept of P and a y intercept of Q. Let the origin be O. Find the area of Triangle OPQ.
+128474 Slope = ( -2 - 3) / (8 - 2) = -5/6
Equation of line
y = (-5/6) ( x - 2) + 3
y = (-5/6)x + 5/3 + 3
y = (-5/6)x + 14/3
Q = (0,14/3)
To find P
0 = (-5/6)x + 14/3
-14/3 = (-5/6)x
(-14/3) ( -6/5) = x = 28/5
The area of the triangle = (1/2) (28/5) ( 14/3) = 196/15 units^2 ≈ 13.07 units^2
