Now, we know how to plot the points on the graph. The points may lie on the graph in different order. If we join any two points we will get a straight line.

**Graph**

__To obtain
a straight line__

Now, we know
how to plot the points on the graph. The points may lie on the graph in different
order. If we join any two points we will get a straight line.

__Example 3.41__

Draw a straight
line by joining the points A (−2,6) and B (4,−3)

*Solution:*

The given
first point A (−2,6) lies in the II quadrant and plot it. Second point B (4,−3)
lies in the IV quadrant and plot it.

Now join
the point A and point B using scale and extend it. We get a straight line.

**Note:**

The straight line intersects X axis at (2,0) and Y axis at (0,3).

__Example 3.42__

Draw straight
lines by joining the points A(2, 5) B(−5,−2) M(−5, 4) N(1,−2) also find the point
of intersection

**Solution:**

Plot the
first pair of points A and B in I and III quadrants. Join the points and extend
it to get AB straight line. Plot the second pair of points M and N in II and IV
quadrants. Join the points and extend it to get MN straight line.

Now, both
lines are intersect at P(−2,1 )

(i) The line
AB intersect the coordinate axis, ie) *x*-axis
at R(−3,0) and y-axis at Q(0,3)

(ii) The
line MN intersect the coordinate axis, ie) *x*-axis
at S(−1,0) and y-axis at T(0,−1)

Tags : Algebra | Chapter 3 | 8th Maths , 8th Maths : Chapter 3 : Algebra

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