Graph of a Linear Equation in Two Variables

The number of degrees and grades in an angle are in ratio $9:10$. Write the linear equation to express this statement. Draw the graph of the same and answer the following question.

If the measure of an angle is ${70}^{\mathrm{g}}$, what is the measure in degrees?

The number of degrees and grades in an angle are in ratio $9:10$. Write the linear equation to express this statement. Draw the graph of the same and answer the following question.

If the measure of an angle is $36$, what is the measure in grades?

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

Find the temperature of which Fahrenheit and Celsius readings are the same?

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

If the temperature is $0°C$, what is the measure in Fahrenheit and if the temperature is $0°F$, what is its measure in Celsius?

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

If the temperature is $113°F$, what is the measure in Celsius?

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

If the temperature is $40°C$, what is the measure in Fahrenheit?

The applied on a body is directly proportional to the acceleration produced, constant of proportionality being the mass of the body. Write an equation to express this situation and draw the graph of the equation when the mass is $3$ units.

In a city, the taxi fare for the first $\mathrm{kilometer}$ is $₹10$ and the fare for the subsequent distance is $₹6$ per $\mathrm{km}$. Taking the distance covered as $x \mathrm{km}$ and total fare as $₹y$, write a linear equation for this information and draw its graph $x\ge 1$.

Ramesh and Yaima, two students of class $\mathrm{IX}$ of a school, together contributed $₹125$ towards the Prime Minister's Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data and draw the graph of the same.

Using same unit and the same axes, draw the graphs of the following equations:

$2x-y=2$ and $3x+2y=17$

Find the co-ordinates of the point where the graphs intersect.

Draw the graph of $\frac{x}{5}+\frac{x}{3}=1$. From the graph find the value of $y$ when $x=-5$.

Draw the graph of $\frac{x}{5}+\frac{y}{3}=1$. Find the co-ordinates of the points where the graph intersects the two co-ordinate axes.

Draw the graph of the equation $3x-y=8$.

Draw the graph of the equation $x-3y=8$.

Draw the graph of the equation $2x+3y=11$.

Draw the graph of the following equation: $4x+3y=13$

Draw the graph of the following equation: $\frac{x}{5}+\frac{y}{6}=1$

Draw the graph of the following equation: $3x=4y-12$

Draw the graph of the following equation: $2x-5y=10$

Draw the graph of the following equation: $x+2y=6$