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: 5

Answer

(-2, 6)
1513375743

Work Step by Step

Lets graph the first equation by using the slope and y-intercept. This equation is y=-x+4 and it is in the form of y=mx+b, where "m" is the slope and "b" is the y-intercept. First, plot the point (0,4) because that is our y-intercept or "b" for our equation. Then go down 1 unit and right 1 unit because the slope is $\frac{rise}{run}$ or $\frac{-1}{1}$ in our situation and plot the next point there. Then draw a line between the two points and make sure it extends beyond the two points as well. For graphing the next equation we will also use the y-intercept and slope just like the previous equation. The equation is 3x+12. First, plot the point (0,12) since that is the y-intercept. Then go 3 units up and 1 unit right, since our slope is $\frac{3}{1}$ and plot the second point there. Then draw a line between the two points extending in both directions. You will notice that the two lines intersect at the point (-2, 6) and so that is our solution.
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