Find the points where the graphs of y=1-x and y=x-3 intersect algebraically

The point of intersection is (2, -1).

Step-by-step explanation:

At the point of intersection both equations have same value of x and y.

y = x - 3

y = 1 - x

Since the 2 right sides are both = y:

x - 3 = 1 - x

x + x = 1 + 3

2x = 4

x = 2.

Substituting for x in equation 1:

y = 2 - 3 = -1.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)