Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 3 - Linear Systems - 3-1 Solving Systems Using Tables and Graphs - Practice and Problem-Solving Exercises - Page 141: 65

Answer

The slope is $2$.

Work Step by Step

If we have two points, we can find the slope with the following formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ Let us substitute the $x$ and $y$ coordinates of the given points into the formula: $$m = \dfrac{9 - 3}{4 - 1}$$ Let us simplify using subtraction: $$m = \dfrac{6}{3}$$ We can now simplify the fraction: $$m = 2$$ The slope is $2$.
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