English

Plot the Following Points on a Graph Sheet. Verify If They Lie on a Line P(1, 1), Q(2, 2), R(3, 3), S(4, 4)

Advertisements
Advertisements

Question

Plot the following points on a graph sheet. Verify if they lie on a line

P(1, 1), Q(2, 2), R(3, 3), S(4, 4)

Advertisements

Solution

We can plot the given points and join the consecutive points on a graph paper as follows.

Hence, points P, Q, R, and S lie on the same line

shaalaa.com
  Is there an error in this question or solution?

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

State whether True or False. Correct those are false.

A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.


Decide which of the following statements is true and which is false. Give reasons for your answer.

 The coordinates of the origin are (0, 0).


From Fig, choose the letter(s) that indicate the location of the points given below:
(i) (2, 1)
(ii) (0, 5)
(iii) (2, 0)
Also, write
(iv) The coordinates of A.
(v) The coordinates of F.

Match the ordinates of the points given in Column A with the items mentioned in Column B.

Column A Column B
(a) (7, 0) (i) The ordinate is double the abscissa.
(b) (11, 11) (ii) The ordinate is zero.
(c) (4, 8) (iii) The ordinate is equal to the abscissa.
(d) (6, 2) (iv) The abscissa is double the ordinate.
(e) (0, 9) (v) The abscissa is triple the ordinate.
(f) (6, 3) (vi) The abscissa is zero.

From the given graph, choose the letters that indicate the location of the points given below.

  1. (2, 0)
  2. (0, 4)
  3. (5, 1)
  4. (2, 6)
  5. (3, 3)

Write the x-coordinate (abscissa) of the given point.

(5, 7)


Locate the points P(3, 4), Q(1, 0), R(0, 4), S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.


The following table gives the growth chart of a child.

Height (in cm) 75 90 110 120 130
Age (in years) 2 4 6 8 10

Draw a line graph for the table and answer the questions that follow.

  1. What is the height at the age of 5 years?
  2. How much taller was the child at the age of 10 than at the age of 6?
  3. Between which two consecutive periods did the child grow more faster?

This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.

Point A represents a resort that is located 5 km East and 3 km North of Point B. The values 5 and 3 are the coordinates of Point A. The coordinates can be given as the ordered pair (5, 3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.

(i) On a copy of the map, mark the point that is 3 km East and 5 km North of Point B and label it S. Is Point S in the water or on the island? Is Point S in the same place as Point A?

(ii) Mark the point that is 7 km east and 5 km north of Point B and label it C. Then mark the point that is 5 km east and 7 km north of Point B and label it D. Are Points C and D in the same place? Give the coordinates of Points C and D.

(iii) Which point is in the water, (2, 7) or (7, 2)? Mark the point which is in water on your map and label it E.

(iv) Give the coordinates of two points on the island that are exactly 2 km from Point A.

(v) Give the coordinates of the point that is halfway between Points L and P.

(vi) List three points on the island with their x-coordinates greater than 8.

(vii) List three points on the island with a y-coordinate less than 4.


The two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.

Use the graphs to determine whether each statement is true or false, and explain your answer.

  1. The older car is less valuable.
  2. The faster car is larger.
  3. The larger car is older.
  4. The faster car is older.
  5. The more valuable car is slower.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×