Find the area of a triangle bounded by the y axis

Question

Find the area of a triangle bounded by the y axis, the line f(x)=4−4/7x , and the line perpendicular to f(x) that passes through the origin.

Area= ______

Answer 1

4-4x/7 = 7x/4

7x/4 + 4x/7 = 4

49x + 16x = 4(28) = 112

65x = 112

x = 112/65

Area = 6(112/65)/2 = 336/65

area = base times height divided by 2

base = 6 (distance from origin to the y intercept)

height = 112/65