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

The points are not on the same line

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)}`