Question

plot the points A (2, 2) and B (4, - 2) and then find the coordinates of the point of intersection of line segment a b to the x-axis. Also find the area of triangle OAB

Answer 1

2x+y=6
(3,0)....................

Answer 2

o is origin
$area \: of \: triangle \: oab = \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)) \\ = \frac{1}{2}(2( - 2 - 0) + 4(0 - 2) + 0(2 + 2)) \\ = \frac{1}{2} (2 \times - 2 + 4 \times - 2 + 0\times 4) \\ = \frac{1}{2} ( - 4 - 8) \\ = \frac{1}{2} \times 12\\ = 6 \: unit \: cube\:$