Question

Using distance formula, show that the points A( -6, 0) , B( 0, 5) and C( 6, 10) are collinear.​

Answer 1

Answer:

A(-6,0) b(0,5) and c(6,10)

A(-6,0) b (0,5) (a= x1,y1 b=X2,y2)

distance formula AB =√(x2-x1)²+ (y2-y1)²

AB=√[0-(-6)]+ (5-0)²

=√(0+6)²+(5)²

=√(6)²+(5)²

=√36+25

= √61

b(0,5) and c(6,10)

BC =√ (6-0)²+(0-5)²

=√(6)²+(-5)²

=√36+25

√61

c(6,10) a(-6,0)

CA = √(-6-6)²+(0-10)²

=√(0)²+(-10)²

=√100²

therefore ab=bc is not equal to CA

these points are not collinear