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

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