Question

Verify if they lie on a line
(a) $A(4,0),8(4,2),C(4,6),D(4,2.5)$

Answer 1

Given points $A(4,0),B(4,2),C(4,6),D(4,2.5)$

Slope of $AB=\frac{2-0}{4-4}=\infty$

Slope of $BC=\frac{6-2}{4-4}=\infty$

Slope of $CD=\frac{2.6-6}{4-4}=\infty$

Slope of $AD=\frac{2.5-0}{4-4}=\infty$

Since all slopes are equal they lie on same line.