Question

How to find out point of intersection of two lines when equation is given?

Answer 1

Get the two equations for the lines into slope-intercept form. That is, have them in this form: y = mx + b.

Set the two equations for y equal to each other.

Solve for x. This will be the x-coordinate for the point of intersection.

Use this x-coordinate and plug it into either of the original equations for the lines and solve for y. This will be the y-coordinate of the point of intersection.
As a check for your work plug the x-coordinate into the other equation and you should get the same y-coordinate
ou now have the x-coordinate and y-coordinate for the point of intersection.