The following values of x and y are thought to satisfy a linear equation, Write the linear equation.
x 6 –6
y –6 6
(6,-6), (-6,6)
Draw the graph, using the values of x, y as given in the above table. At what point the graph of the linear equation (i) cuts the x-axis. (ii) cuts the y-axis.
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The linear equation is 2x+3y=6. Both the points (6,−2) and (−6,6) satisfy the given linear equation.
Plot the points (6,−2) and (−6,6) on a graph paper. Now join these two points and obtain a line. We see that the graph cuts the x-axis at (3,0) and y-axis at (0,2).
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