Theory:

We have learnt how to plot the points in a graph. Now, we shall learn how to draw a straight line in a graph.

Joining any two points in the graph will give us a straight line.
Example:
1. Draw a straight line by joining the points $$(1,-6)$$ and $$(-2,3)$$.

Solution:

Step $$1$$: Plot the point $$(1,-6)$$ in the quadrant $$IV$$ and name it as $$A$$.

Step $$2$$: Similarly, plot the point $$(-2,3)$$ in the quadrant $$II$$ and name it as $$B$$.

Step $$3$$: Now, joining the points $$A$$ and $$B$$ and extending it, we get a straight line.

Here, the straight line intersects the $$x$$ - axis at $$(-1,0)$$ and $$y$$ - axis at $$(0,-3)$$.

2. Draw straight lines by plotting the points $$(1,-6)$$, $$(-2,3)$$, $$(1,2)$$ and $$(-3,-2)$$.

Solution:

Step $$1$$: Plot the point $$(1,-6)$$ in the quadrant $$IV$$ and name it as $$A$$.

Step $$2$$: Similarly, plot the point $$(-2,3)$$ in the quadrant $$II$$ and name it as $$B$$.

Step $$3$$: Plot the point $$(1,2)$$ in the quadrant $$I$$ and name it as $$C$$.

Step $$4$$: Plot the point $$(-3,-2)$$ in the quadrant $$III$$ and name it as $$D$$.

Step $$5$$: Now, join the points $$A$$, $$B$$ and $$C$$, $$D$$.

Step $$6$$: After joining, we can see that the lines intersect at the point $$(-1,0)$$.