please help i can't answer this question. :(

Find the points of intersection of the line  y  =  (3x + 15)/4  and the circle  x² + y²  =  36

and then determine the distance between them.

First, using substitution to find the points:  x² + [ (3x + 15)/4 ]²  =  36

                                                         x² + (9x² + 90x + 225)/16  =  36

                                                             16x² + 9x² + 90x + 225  =  576

                                                                       25x² + 90x - 351  =  0

Using the quadratic formula to find the values for x:

    x₁  =  ( -90 + sqrt( 43200 ) ) / 50

    x₂  =  ( -90 - sqrt( 43200 ) ) / 50

Substitue each value of x into the equation  y  =  (3x + 15)/4  to get its corresponding y-value.

Then, use the distance formula to find the distance between these two points.

Ok thank you! Those numbers look terrifying! Time to get to work!

Just asking...is there any easier way to do this problem? Computing seems like it would take a very long time.