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

Answer:

$x = 1.2$

See Attachment for Graph

Step-by-step 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

$x = \frac{-6}{-5}$

$x = \frac{6}{5}$

$x = 1.2$

Hence, the point of intersection is 1.2