Question

Draw the graph for the equation -2x+y-7=0.Check whether the point (-3, -2) lie on the given line.​

Answer 1

$\large\underline{\sf{Solution-}}$

Given equation of line is

$\rm :\longmapsto\: - 2x + y - 7 = 0$

can be rewritten as

$\rm :\longmapsto\:y = 2x + 7$

Substituting 'x = 0' in the given equation, we get

$\rm :\longmapsto\:y = 2(0) + 7$

$\rm :\longmapsto\:y = 0 + 7$

$\rm :\longmapsto\:y = 7$

Substituting 'x = 1' in the given equation, we get

$\rm :\longmapsto\:y = 2(1) + 7$

$\rm :\longmapsto\:y = 2 + 7$

$\rm :\longmapsto\:y = 9$

Substituting 'x = - 1' in the given equation, we get

$\rm :\longmapsto\:y = 2( - 1) + 7$

$\rm :\longmapsto\:y = - 2 + 7$

$\rm :\longmapsto\:y = 5$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 7 \\ \\ \sf 1 & \sf 9 \\ \\ \sf - 1 & \sf 5 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 7), (1 , 9) & (- 1 , 5)

➢ See the attachment graph.

From graph,

We concluded that the point ( - 3 - 2 ) don't lie on the line.

Answer 2

Given :  -2x + y - 7  = 0  

To Find : Draw graph

Check whether point ( - 3, - 2 ) lies on line or not

Solution:

 -2x + y - 7  = 0  

=> -2x + y  = 7

=> --2x/7  +  y/7 = 1

=> x /(-7/2)  + y/7  = 1

Hence two points are  (  -7/2 , 0)  and (  0 , 7)

check (-3 , - 2)

-2(-3) + (-2) - 7  = 6 - 2 - 7  =  - 3 ≠ 0

Hence point does not lie on line

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