Question

Find the slope of the line passing through the points: (2,4) and (1,3)

Answer 1

1) 3-4/1-2 = 1= slope
2) 6-7/5-2= -1/3= slope

Answer 2

Answer:

1. $\displaystyle=1$

2. $\displaystyle -\frac{1}{3}$

Step-by-step explanation:

1. (2,4) and (1,3)

The slope formula is $\displaystyle\frac{y_2-y_1}{x_2-x_1}$

$\displaystyle y_2=3\\ \displaystyle y_1=4\\ \displaystyle x_2=1\\ \displaystyle x_1=2$

$\displaystyle\frac{3-4}{1-2}=\frac{-1}{-1}=1$

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 $\displaystyle\frac{y_2-y_1}{x_2-x_1}$

$\displaystyle y_2=6\\\displaystyle y_1=7\\\displaystyle x_2=5\\\displaystyle x_1=2$

$\displaystyle\frac{6-7}{5-2}=\frac{-1}{3}=-\frac{1}{3}$

Therefore, the slope is -1/3, and the correct answer is -1/3.

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Hope this helps!