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.
Three solutions satisfying the equation 2x + 3y = 6 are (0, 2), (3, 0) and (–3, 4). The graph of the line 2x + 3y = 6 can be obtained by plotting and joining these points as,
The line 2x + 3y = 6 intersects the x-axis and y-axis at (3, 0) and (0, 2) respectively.
Thus x intercept and y-intercept of the line 2x + 3y = 6 are 3 and 2 respectively.
Thu, the sum of these intercepts is 3 + 2 = 5