Question

Draw the graph for the linear equation given below:

$2x-7=0$
Which of the following points lie on this line?

• A. $(3.5,0)$
• B. $(3,0)$
• C. $(-2,2)$
• D. $(3.5,2)$

Answer 1

Answer: (A), (D)

$2x-7=0=>x=$ $\frac{7}{2}$ OR $x=3.5$
In the linear equation $x=3.5$, there is no term for $y$. This means, that $y$ can take any value.
Points lying on the line $x=3.5$ can be $(3.5,0),(3.5,1)$ or $(3.5,-5)$.
Note that $3.5$ lies midway between the points $3$ and $4$.
Plotting these points on the graph paper and joining them, we get the graph for $x=3.5$.