Question

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

Answer 1

Answer:

The points are not on the same line

Step-by-step explanation:

The formula of a slope:

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

Substitute the coordinates of the given points:

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

$m_{AB}=\dfrac{6-5}{-2-3}=\dfrac{1}{-5}=-\dfrac{1}{5}$

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

$m_{BC}=\dfrac{7-6}{-5-(-2)}=\dfrac{1}{-5+2}=\dfrac{1}{-3}=-\dfrac{1}{3}$

$\large\boxed{m_{AB}\neq m_{BC}}$