Question

find the slope. *

1. (14, 3), (-3, -7)

a) $-\frac{10}{17}$ b) $\frac{17}{10}$
c) $-\frac{17}{10}$ d) $\frac{10}{17}$
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\bigcirc b
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\bigcirc d

find the slope. *

1. (0, -7), (0, 16)

a) 5 b) undefined
c) 0 d) -5
\bigcirc a
\bigcirc b
\bigcirc c
\bigcirc d

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
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For problem 4:

Step2: Assign coordinate values

Let $(x_1,y_1)=(14,3)$, $(x_2,y_2)=(-3,-7)$

Step3: Substitute into slope formula

$m = \frac{-7 - 3}{-3 - 14} = \frac{-10}{-17} = \frac{10}{17}$
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For problem 5:

Step2: Assign coordinate values

Let $(x_1,y_1)=(0,-7)$, $(x_2,y_2)=(0,16)$

Step3: Substitute into slope formula

$m = \frac{16 - (-7)}{0 - 0} = \frac{23}{0}$
Division by 0 is undefined.

Answer:

1. D) $\frac{10}{17}$
2. B) Undefined