Question #2dbdf

1 Answer
Nov 17, 2017

The answer is (-2,1)

Explanation:

These equations, when graphed, creates 2 lines. They represent numbers that satisfy the equation. For example:

#y=2x#

The solutions are infinite and will include
x=1 y=2
x=2 y=4
...and so on--you just plug in any x value, find the y value, and there it is-a point on the line.

(1,2) (24) (3,6)

In the case of these equations, you are told to put this on a graph. You start with the y-intercept (-4 and 2) and go by rise-run on the slopes (#-5/2# and #1/2#)

-5/2 = down 5 right 2 1/2 = up 1 over 2
Now you draw a line through graph{y= 1/2x+2 [-11.25, 11.25, -5.625, 5.625]}
graph{-5/2x -4 [-11.25, 11.25, -5.625, 5.625]}

Because of the limitations of Socratic pleas try to do this on your own. As all point of each line satisfy their corresponding line, the intersection will satisfy both-the solution.