1: Draw two lines perpendicular to each other on a graph paper
2: Write year along the X-axis and number of cars along Y-axis.
Answers
Step-by-step explanation:
INTRODUCTION TO GRAPHS
(A) Main Concepts and Results
• Graphical representation of data is easier to understand.
• A bar graph, a pie chart and histogram are graphical
representations of data.
• A line graph displays data that changes continuously over periods
of time.
• A line graph in which all the line segments form a part of a single
line is called a linear graph.
• For fixing a point on the graph sheet, we need two mutually
perpendicular lines (in which horizontal line is called x axis and
the vertical line as y axis) alongwith, x coordinate (abscissa) and
y coordinate (ordinate) of the point. The process of fixing a point
with the help of the coordinates is known as plotting a point in
the plane.
• The relation between a dependent variable and an independent
variable is shown through a graph.
(B) Solved Examples
In examples 1 and 2, there are four options out of which one is correct.
Write the correct answer.
Example 1 : Every point on the x axis is of the form.
(a) (0, y) (b) (x, 0) (c) (x, y) (d) (x, 1)
Solution : The correct answer is (b).
The given graph shows Nisha’s trip to a mall by a car.
Observe the graph carefully and find what was she doing
between 5 pm and 7 pm?
(a) Driving to the mall. (b) Driving back home.
(c) Was not driving. (d) Not enough data to answer.
Solution : The correct answer is (c).
In examples 3 and 4, fill in the blanks to make the statements true.
Example 3 : In a __________ graph, all the points on the graph lie on
the same straight line.
Solution : Linear.
Example 4 : The coordinates of the origin are ___________
Solution : (0, 0).
In examples 5 and 6, state whether the statements are true (T) or false (F).
Example 5 : Points (3, 4) and (4, 3) represent the same point on the
graph.
Solution : False.
Example 6 : The y coordinate of any point lying on the x axis will be 0.
Solution : True.
Example 7 : Plot the points (4, 4), (1, 3), (4, 2) and (7, 3) on a graph
paper and connect them with line segments. Name the
shape formed by these points.