Question

What is the slope of the line that passes through the pair of points?
(-2,7), (18, 1)

Answer 1

Answer:

Your slope of the line is -3/10.

Step-by-step explanation:

Use the following equation:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-2 , 7)

(x₂ , y₂) = (18 , 1)

Plug in the corresponding numbers to the corresponding variables:

m = (1 - 7)/(18 - (-2))

Simplify. First solve the parenthesis, then divide:

m = (-6)/(18 + 2)

m = -6/20

Simplify.

m = (-6/20)/(2/2) = -3/10

Your slope of the line is -3/10.

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Answer 2

Answer:

$\displaystyle \frac{-3}{10}$

Step-by-step explanation:

Slope formula:

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

$\displaystyle\frac{1-7}{18-(-2)}= \frac{-6}{20}=\frac{-6\div2}{20\div2}=\frac{-3}{10}=-\frac{3}{10}$

Therefore, the slope is -3/10, and the correct answer is -3/10.