Question

What is the point of intersection of the lines represented by these equations

Answer 1

Points of Intersection

To find the point of intersection of two lines, we can use substitution to find the x and y coordinates.

Solving the Question

We're given:

• $y = -2x + 2$
• $y = x - 4$

Use substitution to find x:

$-2x + 2=x-4\\-2x=x-6\\-3x=-6\\x=2$

Use substitution to find y:

$y=x-4\\y=2-4\\y=-2$

Answer

The point of intersection is (2,-2).