Draw the graph of the line 2x+3y=6 on the graph paper.Write the sum of the intercepts cut by this line on two axes.

Hi!

Three solutions satisfying the equation 2

*x*+ 3*y*= 6 are (0, 2), (3, 0) and (–3, 4). The graph of the line 2*x*+ 3*y*= 6 can be obtained by plotting and joining these points as,The line 2

*x*+ 3*y*= 6 intersects the*x*-axis and*y*-axis at (3, 0) and (0, 2) respectively.Thus

*x*intercept and*y*-intercept of the line 2*x*+ 3*y*= 6 are 3 and 2 respectively.Thu, the sum of these intercepts is 3 + 2 = 5

Cheers!

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