Question

Draw the graph of the equation y - x=2. Find from the graph
1 the value of y when x = 4
n the value of x when y=-3
utions for​

Answer 1

To Do :-

• To draw the gràph of equation , y-x=2 .
• From gràph , find the value of y

1. when x = 4
2. value of x when y = -3 .

SolutioN :-

A linear equation in two variables is given to us and we need to draw its graph and find the values of x and y when some values of y and x are given respectively .

$\sf\to\pink{ y - x = 2 }$

Step 1 : Put either of the variables on one side

Here we are putting y on one side that is LHS and transposing x to the another side . The equation becomes ,

$\sf\to \red{ y = x + 2 }$

Step 2 : Put some values of x to get values of y

Here we need to put atleast two values in order to draw a graph . Bút for verification purpóse that we are plotting the right points we will put three values . If the line will pàss through all the three coordinates , then our co-ordinates will be correct .

$\underline{\sf{ \star Making\ a \ Table :- }}$

$\boxed{\begin{array}{c|c|c|c} \bf x & \sf -2 & \sf -1 &\sf 1 \\ && &\\ \bf y &\sf 0 &\sf 1 &\sf 3\end{array}}$

Step 3: Plotting the points :-

Now taking suitable scale on the graph plot the points (-2,0) , (-1,1) & (1,3) . Hence we got our graph .

$\rule{200}2$

Now also from graph we see that when x is 4 then y is , 6 and when y is (-3) then x is (-5) .