Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Exercise Set - Page 290: 24

$(4,1)$

Please see the screenshot of the tables for the two equations. Purple line: $x=4$ Green line: $x+y=5$ If we replace $x$ and $y$ with $4$ and $1$, respectively, for the green line, we have $x+y=5$ $4+1=5$ (true) Purple line: $x=4$ $4=4$ (true) Purple line: undefined slope, doesn't cross y-axis Green line: $m=-1$, y-intercept is 5