3x+15 = y sub that in to the circle equation
x^2 + [(3x+15)/4]^2 = 36
x^2 + [(9x^2 +90x+225)/16 ] = 36
16x^2 + 9x^2 + 90x + 225 = 576
25x^2 + 90x - 351 = 0 Use quadratic formula to find x = 2.35692 and −5.95692 (these are 9/5 +- 12 sqrt5/5 )
Now you can use these values of x to find the y values by substituting into the line equation
THEN you can use the distance formula to calculate the length sqrt { (x1-x2)^2 + (y1-y2)^2 }
Is there an easier way??? Probably........