Question

Suppose k and l are fixed numbers. Since the following are lines with different slopes, the graphs of the two lines y=18x+k and y=5x+l must always intersect somewhere. Find a formula, using k and l, for the intersection point. Please say how you found the formula. Thanks.

Answer 1

Contd.

Explanation:

We will use the following well-known

Result : The eqn. of a line l passing through the pt. of

intersection of the lines l1:a1+b1+c1=0andl2:a2x+b2y+c2=0 is of

the form

Result :