Help, stuck on this:
Find the number of square units bounded by the x-axis, the y-axis and the line x+ y= 6 + 2/3*x + 3/4*y.
+1622 The equation can be written to standard form.
x/3 + y/4 = 6 => 4x + 3y = 72 => point-slope form => y = -4x/3 + 24
Then since our triangle has base of y = 0 and height of x = 0, we can do some calculations to see the area under the line y = -4x/3 + 24 in Quad 1.
It has y-intercept of 24. x - intercept is 0 = -4x/3 + 24. 0 = -4x + 72. x = 18. So the x-intercept is (18, 0)
Thus the base has length 18, and the height has length 24, the area is 18 * 24 / 2 = 216.
