There is a line passing through the point 3 1 with a slope o

There is a line passing through the point (3, 1) with a slope of that intersects the x and y axes. The axes and this line form a triangular area in the first quadrant. The line y = pi x divides this triangle into two unequal areas. Find the value of each of these two areas (to the nearest thousandth). Use the back if you need to show additional work. Area 1: Area 2:

Solution

So, we have the equation of lines : y = -1.75x + 6.25

Other equation is : y = pi*x

Find the point of interscetion of these two lines

( 1.278 , 4.013)

We have two triangles with three points

Traingle 1: (0,0 ) , ( 0 , 6.25) and ( 1.278 , 4.013)

Triangle 2 : (0,0) , ( 3.571 , 0 ) and ( 1.278 , 4.013)

Find area of each triangle using hero\'s formula

Area of triangle 1 = 3.99375 = 3.994 sq.units

Are of triangle 2 = 7.1652 = 7.165 sq.units