Question

draw the graphs of (a)3x-2y=7 (b)y=-2

Answer 1

Step-by-step explanation:

b. left side

a right side

Answer 2

The graphs can be drawn on solving the equations $(a). 3x - 2y = 7$ and $(b). y = -2$.

Given:

The two equations for which the graphs are to be drawn are:

$(a). 3x - 2y = 7.$

$(b). y = -2.$

To Find:

We have to draw the graphs plotting the given equations.

Solution:

Consider the first equation $(a). 3x - 2y = 7.$

Substituting x = 3, we get,

$3.(3) - 2y = 7$.

Solving the above equation for y,

$- 2y = 7 - 9$

$i.e., 2y = 2$

∴, $i.e., y = \frac{2}{2} = 1.$

Substituting x = -1 in $3x - 2y = 7$, we get,

$3.(-1) - 2y = 7$.

Solving the above equation for y,

$- 2y = 7 + 3$

$i.e., 2y = - 10$

∴, $i.e., y = \frac{- 10}{2} = - 5.$

Now draw a graph using the points A (3, 1) and B (-1, -5).

On joining the points AB through a line and extending it in both directions, we get the graph for the equation $3x - 2y = 7.$

Consider the second equation $(b). y = -2.$

In the linear equation $y = -2$, there is no term for x.

Therefore, x can take any value.

Points lying on the line $y = -2$ can be (0, -2),(5, -2) or (−2, -2).

Plotting these points on the graph paper and joining them, we get the graph for $y = -2.$

Hence, the graphs drawn for the given equations  $(a). 3x - 2y = 7$ and $(b). y = -2$ are given below.

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