Answer:
2/3
Step-by-step explanation:
Compute the slope of the line through the following points:
p_1 = (1, -1) and p_2 = (-8, -7)
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) = (1, -1) and (x_2, y_2) = (-8, -7):
= (-7 - -1)/(-8 - 1)
-8 - 1 = -(8 + 1):
= (-7 - -1)/(-(8 + 1))
8 + 1 = 9:
= (-7 - -1)/(-9)
(-1)^2 = 1:
= (-7 + 1)/(-9)
-7 + 1 = -6:
= (-6)/(-9)
The gcd of -6 and -9 is -3, so (-6)/(-9) = (-3×2)/(-3×3) = (-3)/(-3)×2/3 = 2/3:
Answer: = 2/3
