Question

Find the points of intersection (if any) of the graphs of the equations. Use a graphing utility to check your results. y = - x + 4, y = 4x - 2

Answer 1

`x = 1.2`

See Attachment for Graph

Explanation:

Given

`y = -x + 4`

`y = 4x - 2`

Required

Determine the point of intersection

To do this, we simply equate both expressions of y

i.e.

`-x + 4 = 4x - 2`

Solve for x

`-x - 4x = - 2 - 4`

`-5x = -6`

Divide through by -5

`x = (-6)/(-5)`

`x = (6)/(5)`

`x = 1.2`

Hence, the point of intersection is 1.2