Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - Chapter Review - 6-1 Solving Systems by Graphing - Page 405: 6


(-3, -3)

Work Step by Step

In order to graph both equations, we will use y-intercepts. The forms of both equation are in y=mx+b where "m" is the slope and "b" is the y-intercept. The first equation is: y=2x+3. Start by plotting the point (0,3) since that is our "b" or y-intercept. Then go up 2 units and right 1 unit and plot the next point at (1,5) since our slope is $\frac{2}{1}$. Finally, draw a line connecting the two points that extend in both directions. In order to graph the second equation we will again use the slope and y-intercept. The equation is y=$\frac{1}{3}x-2$. First plot the point (0, -2) since that is our y-intercept. Then plot the next point by going 1 unit up and 3 units to the right since our slope is $\frac{1}{3}$. Finally, connect the two points with a line that extends in both directions. You will notice that the two lines intersect at the point (-3, -3) so that is our solution.
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