Question

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

Jy = -2x + 2
y = x - 4
A. (-2, 2)
B. (1, -3)
c. (2,-2)
D. (3,-4)

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).