Answer:
1. [tex]\displaystyle=1[/tex]
2. [tex]\displaystyle -\frac{1}{3}[/tex]
Step-by-step explanation:
1. (2,4) and (1,3)
The slope formula is [tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle y_2=3\\ \displaystyle y_1=4\\ \displaystyle x_2=1\\ \displaystyle x_1=2\\[/tex]
[tex]\displaystyle\frac{3-4}{1-2}=\frac{-1}{-1}=1[/tex]
Therefore, the slope is 1, and the correct answer is 1.
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2. (2,7) and (5,6)
The slope formula is [tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle y_2=6\\\displaystyle y_1=7\\\displaystyle x_2=5\\\displaystyle x_1=2\\[/tex]
[tex]\displaystyle\frac{6-7}{5-2}=\frac{-1}{3}=-\frac{1}{3}[/tex]
Therefore, the slope is -1/3, and the correct answer is -1/3.
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Hope this helps!
