Question

PLOT THE FOLLOWING POINTS ON A GRAPH SHEET AND JOIN THEM USING A RULER. VERIFY IF THEY LIE ON THE SAME LINE:(-1,5);(0,3);(3,-3);(1,1)

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Answer 1

Solution:

➛ Let A = ( -1, 5 )

➛ Let B = ( 0, 3 )

➛ Let C = ( 3, -3 )

➛ Let D = ( 1, 1 )

When we join A, B, C and D points they make a straight line. Hence, they lie on a same line.

Steps:

• On a graph, draw the co-ordinate axes x0x' and y0y' intersecting at origin 0.

• With proper scale, mark the numbers on the two co-ordinate axis.

For plotting any point two steps are to be adopted:

• Starting from the origin 0 moves 1 unit along the negative side of the x-axis i.e, to the left of the origin 0.
• Now from here move 5 units that is parallel a positive direction of y-axis.
• Place a dot at the point reached.
• Label this as A ( -1, 5 ).

➤ Similarly plot the other points B ( 0, 3 ), C ( 3, -3 ) and D ( 1, 1 ).

• Draw straight line passing through the points plotted on the graph.