The area of the triangle formed by the line with the coordinate axes is
Given:
The given linear equation is in the slope intercept form. Intercept means the distance at which the given equation cuts or meets the coordinate axis. In this problem a & b are the intercepts on the x and y axis respectively.
The triangle formed by a straight line with the coordinate axis is a right angled triangle where the angle subtended at origin is 900. So the length of the x intercepts becomes the perpendicular and y intercept becomes the base of the triangle.
We know Area Of a triangle = * (perpendicular length) * (base length)
So Area of the triangle becomes ab
The Area of the triangle is ab