Question

What is the slope of the line through (-1, 8) and (3, -4)? A. -1/3. B. -3. C. 1/3. D. 3.
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Answer 1

Answer:

B. -3

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (-1,8) (3, -4)

We see the y decrease by 12 and the x increase by 4, so the slope is

m = -12/4 = -3

So, the answer is B. -3

Answer 2

The slope is:

⇨ -3

Work/explanation:

We will use the slope formula to find the slope.

The formula is

$\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}$

Where m is the slope.

Plug in the data:

$\bf{m=\dfrac{-4-8}{3-(-1)}}$

Simplify.

$\bf{m=\dfrac{-12}{3+1}}$

$\bf{m=\dfrac{-12}{4}}$

$\bf{m=-3}$

Hence, -3 is the slope.