## Algebra 1

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Practice and Problem-Solving Exercises: 14

#### Answer

The point of intersection is $(1,2)$

#### Work Step by Step

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

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