Draw the graph of the equation 3x + 2y = 6. Find the coordinates of the point, where the graph cuts the y-axis.

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Solution

Given equation: $3 x + 2 y = 6$ . Then,

$2 y = 6 - 3 x \Rightarrow y = \frac{6 - 3 x}{2}$

When $x = 2$ , $y = \frac{6 - 6}{2} = 0$

When $x = 4$ , $y = \frac{6 - 12}{2} = - 3$
Thus, we get the following table:

$x$ 2 4

$y$ 0 -3

Plot the points $(2, 0), (4, - 3)$ on the graph paper. Join the points and extend the graph in both the directions.

Clearly, the graph cuts the $y - a x i s$ at P(0,3).

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Similar questions

Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:

$(i) 6 x - 3 y = 12$ $(i i) - x + 4 y = 8$ $(i i i) 2 x + y = 6$ $(i v) 3 x + 2 y + 6 = 0$

The graph of the linear equation 3x - 2y = 6 cuts the y-axis at the point (0,3).

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