Graph of Linear Equation

IMPORTANT

Graph of Linear Equation: Overview

Through this topic, we will learn about the graphs of a linear equation. We will understand how to find the equations of a line by plotting the points on the graph. We will also discuss how to draw the graph from its equation.

Important Questions on Graph of Linear Equation

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Which one of the following graphs is for the function g(x)=|x-4|?

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Aana is trying to find the value of "k" for which x=-1 and y=2 satisfy the linear graph of equation 3x+4y=k. Can you help her by choosing the correct value of k?

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Ishin has the linear equation x-2y=2. Help her to draw the linear equation on the graph. 

HARD
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Find the area of the plane region formed by the graphs of the equations x-y=1 and 2x+y=8.

HARD
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Using the graph of equation 3x+2y = 6, find the sum of the co-ordinates of the point where the graph intersects the Y-axis.

MEDIUM
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Draw the graph of the following equation: y=5-3x

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Draw the graph of the following equation: y=3x-2

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

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

EASY
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The graph given alongside shows the relation between pounds and kilograms.

Question Image

A bag of rice weighs 15 kg. According to the graph, if its weight is k pounds, find k.

MEDIUM
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Make a line graph for the area of a square as per the given table.

Side(in cm) 1 2 3 4
Area(in cm2) 1 4 9 16

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The cost of a notebook is 10. Draw a graph after making a table showing cost of 2, 3, 4 ..... notebooks. Use it to find the number of notebooks that can be purchased with 50.

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The cost of a notebook is 10. Draw a graph after making a table showing cost of 2, 3, 4 ..... notebooks. Use it to find the cost of 7 notebooks.

MEDIUM
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If ycoordinate is 3 times xcoordinate, form a table for it and draw a graph. 

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If y-coordinate is 2 times of x-coordinate, then form a table for it and draw a graph.

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A daffodil grows 0.05 m every day. Plot the growth of the flower if the initial length of the daffodil is 0.8 m and hence give the length of the daffodil on the 8th day.

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On the same sheet of graph paper, draw the lines x=(-2),  y=3,  x=2 & y=(-5). Find the coordinates of the points of intersection of the four lines. Name the figure you get.

MEDIUM
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The following table gives the relationship between Celsius and Fahrenheit temperatures. Draw a linear graph to represent the relationship. From the graph, determine the temperature at which the Celsius and Fahrenheit temperatures have the same value.

°C -20 -10 0 10 20 30
°F -4 14 32 50 68 86

 

 

MEDIUM
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Sohail started saving money every month. He saved 200 in January and 50 more in every following month. Draw a graph to show his savings for the first half of the year. 

In which month will he be able to save 300?

EASY
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Sohail started saving money every month. He saved 200 in January and 50 more in every following month. If he is not taking out money from his savings, and saved x by August, then find the value of x.