Give the geometric representations of 2x + 9 = 0 as an equation

(i) In one variable

(ii) In two variables

If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is (i) 2 units (ii) 0 unit

Yamini and Fatima, two students of Class IX of a school, together contributed Rs 100towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs x and Rs y) Draw the graph of the same.

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:

(i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.

(ii) If the temperature is 30⁰C, what is the temperature in Fahrenheit?

(iii) If the temperature is 95⁰F, what is the temperature in Celsius?

(iv) If the temperature is 0⁰C, what is the temperature in Fahrenheit and if the temperature is 0⁰F, what is the temperature in Celsius?

(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

Give the geometric representations of y = 3 as an equation

(i) In one variable

(ii) In two variables