MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Equations in Two Variables · Linear Equations in Two Variables
Problem
For the linear equation 3x−5y=15 answer the following.
(i) List any five distinct ordered pairs of integers that satisfy the equation, making sure that at least one pair has a negative value of x and another has a negative value of y.
(ii) Plot the five points obtained in part (i) on the same set of axes and draw the straight line passing through them.
(iii) Show algebraically that the midpoint of the segment joining the points (0,−3) and (5,0) also lies on the line 3x−5y=15.