Use slope to determine whether the points A(3,5) B(-2,6) and C(-5,7) are on the same line

Question

asked Nov 14, 2020 11.3k views

1 Answer

Syed Qasim Ahmed · Answer 1 · 2020-11-18T07:02:01+0000

Answer:

Explanation:

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

Substitute the coordinates of the given points:

for A(3, 5) and B(-2, 6):

m_(AB)=(6-5)/(-2-3)=(1)/(-5)=-(1)/(5)

for B(-2, 6) and C(-5, 7):

m_(BC)=(7-6)/(-5-(-2))=(1)/(-5+2)=(1)/(-3)=-(1)/(3)

$\large\boxed{m_(AB)\\eq m_(BC)}$