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question 8 of 25 what is the slope of the line that contains the points…

Question

question 8 of 25

what is the slope of the line that contains the points (-1, -1) and (3, 15)?

a. -4
b. -\frac{1}{4}
c. \frac{1}{4}
d. 4

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (-1, -1),\quad (x_2, y_2) = (3, 15) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} $$

Calculate the numerical value

$$ m = \frac{15 - (-1)}{3 - (-1)} = \frac{16}{4} = 4 $$

Answer:

  • (A) -4
  • (B) \(-\frac{1}{4}\)
  • (C) \(\frac{1}{4}\)
  • (D) 4 (Correct answer)