A line passes through the points and .

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

A line passes through the points

A\left(\dfrac{3}{2},\, -\dfrac{5}{4}\right)

and

B\left(\dfrac{11}{2},\, \dfrac{7}{4}\right)

. (i) Find the slope of the line AB. (ii) Obtain the equation of the line in the form

y = mx + c

. (iii) Verify whether the point

C\left(7,\, \dfrac{19}{2}\right)

lies on this line.