Question

What is the slope of a line that contains the points (−4, −8) and (2, −2)?

a.) -5/3

b.) 5/3

c.) -1

d.) 1

Answer 1

answer = Slope of line is d). 1

Answer 2

Given -

• A line containing two points, i.e., A(-4, -8) and B(2, -2).

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To find -

• Slope of the line.

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Solution -

We have two points that lie on a line and need to find it's slope.

For finding the slope we use

$\large{\boxed{\boxed{\sf{m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}}}}}$

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Here,

• $\sf{x_1 = -4\: and\: x_2 = 2}$
• $\sf{y_1 = -8\: and\: y_2 = -2}$

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Putting the values in the formula

$\tt\longrightarrow{m = \dfrac{-2 - (-8)}{2 - (-4)}}$

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$\tt\longrightarrow{m = \dfrac{-2 + 8}{2 + 4}}$

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$\tt\longrightarrow{m = \dfrac{6}{6}}$

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$\bf\longrightarrow{m = 1}$

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Therefore,

• Slope of given line is 1.

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Hence,

• Option d.) 1 is the correct option.

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