Question

show that the points A(-1,1), B(5,7)and C(8,10) are collinear

Answer 1

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Answer 2

Answer:

The points  A(-1,1), B(5,7)and C(8,10) are collinear.

Step-by-step explanation:

The given points are

A(-1,1), B(5,7)and C(8,10)

Three points are collinear if the slope of AB is equal to slope BC.

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

$m_{AB}=\frac{7-1}{5-(-1)}=1$

$m_{BC}=\frac{10-7}{8-5}=1$

Since slope of AB is equal to slope BC, therefore the points  A(-1,1), B(5,7)and C(8,10) are collinear.