Question

How do you find the intersection of lines y1=-3/2x+3 and y2=-3/5x+2?

Answer 1

Two lines intersect if they share a common point \((x,y)\).

This means that when they intersect, both lines have the same x and y coordinates.

Each y coordinate is expressed as a function of the x coordinate.

At this intersection point, \(y_1=y_2\), so you simply solve the following equation for \(x\):
\[-\frac{3}{2}x+3=-\frac{3}{5}x+2\]
After you find this \(x\), you plug it into one of the given functions and solve for \(y\).

Answer 2

Thank you so much!

Answer 3

You're welcome!