Question

What is the slope of the line that passes through the points (-7, -2) and

(-2,-22)? Write your answer in simplest form.

Answer 1

-4

Explanation:

Compute the slope of the line through the following points:

p_1 = (-7, -2) and p_2 = (-2, -22)

The slope of the line through (x_1, y_1) and (x_2, y_2) is:

(y_2 - y_1)/(x_2 - x_1)

Substitute (x_1, y_1) = (-7, -2) and (x_2, y_2) = (-2, -22):

= (-22 - -2)/(-2 - -7)

-(-7) = 7:

= (-22 - -2)/(-2 + 7)

-2 + 7 = 5:

= (-22 - -2)/5

-(-2) = 2:

= (-22 + 2)/5

-22 + 2 = -20:

= (-20)/5

The gcd of -20 and 5 is 5, so (-20)/5 = (5 (-4))/(5×1) = 5/5×-4 = -4:

Answer: = -4