## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Practice and Problem-Solving Exercises - Page 363: 13

#### Answer

The point of intersection is $(2,-2)$

#### Work Step by Step

#$1$ First equation is $y = x-4$ Slope$: m = 1$ y - intercept$: b=-4$ $(0,-4)$ To graph First equation start at $-4$ on the y-axis Then, go up $1$ and right $1$. You will want to do this several times to get an accurate point where both lines intercept. #$2$ Scond Equation $y = -x$ Slope$: m = -1$ y-intercept$: b=0$ $(o,o)$ To graph Second equation start at the origin.Then, go down $1$ and right $1$. You will want to do this several times to get an accurate point where both lines intercept. #$3$ After graphing you will see a point where both lines intersect that is the point of intersection$(2,-2)$. The graph is as following-

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