# NCERT Mathematics Class 9 Exemplar Ch 4 Linear Equations in Two Variables Part 6

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**EXERCISE 4.4**

1. Show that the points and lie on the graph of the linear equation

2. The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation:

X | 6 | -6 |

y | -2 | 6 |

Draw the graph using the values of x, y as given in the above table. At what points the graph of the linear equation

(i) Cuts the x-axis (ii) cuts the y-axis

Answer: The graph cuts the x-axis at and the y-axis at.

3. Draw the graph of the linear equation. At what points, the graph cuts the x-axis and the y-axis.

Answer: The graph cuts the x-axis at and the y-axis

4. The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation

(i) If the temperature is, what is the temperature in Celsius?

(ii) If the temperature is, what is the temperature in Fahrenheit?

(iii) If the temperature is what is the temperature in Fahrenheit and if the temperature is, what is the temperature in Celsius?

(iv) What is the numerical value of the temperature which is same in both the scales?

Answer: (i)

(ii)

(iii)

(iv)

5. If the temperature of a liquid can be measured in Kelvin units as or in Fahrenheit units as, the relation between the two systems of measurement of temperature is given by the linear equation

(i) Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is.

(ii) If the temperature is, then find the temperature in Kelvin.

Answer: (i)

(ii)

6. The force exerted to pull a cart is directly proportional to the acceleration produced in the body. Express the statement as a linear equation of two variables and draw the graph of the same by taking the constant mass equal to 6 kg. Read from the graph, the force required when the acceleration produced is (i) (ii)

Answer: , where y denotes the force, x denotes the acceleration and m denotes the constant mass. (i) 30 Newton (ii) 36 Newton