Answer
390.6k+ views
Hint: To solve this we need to give the values of ‘x’ and we can find the values of ‘y’. Otherwise we can find the coordinate of the given equation lying on the line of x- axis, we can find this by substituting the value of ‘y’ is equal to zero (x-intercept). Similarly we can find the coordinate of the equation lying on the line of y- axis, we can find this by substituting the value of ‘x’ equal to zero (y-intercept).
Complete step by step solution:
Given, \[3x - 4y - 8 = 0\].
This can be rewrite as
\[3x - 4y = 8\]
To find the x-intercept. That is the value of ‘x’ at \[y = 0\]. Substituting this in the given equation. We have,
\[3x - 4(0) = 8\]
\[3x = 8\]
Dividing by 3 on both sides,
\[x = \dfrac{8}{3}\]
\[x = 2.666\].
Rounding off we have,
\[x = 2.67\]
Thus we have a coordinate of the equation which lies on the line of x-axis. The coordinate is \[(2.67,0)\].
To find the y-intercept. That is the value of ‘y’ at \[x = 0\]. Substituting this in the given equation we have,
\[3(0) - 4y = 8\]
\[ - 4y = 8\].
Dividing by -4 on both sides
\[y = - \dfrac{8}{4}\]
\[y = - 2\]
Thus we have a coordinate of the equation which lies on the line of the y-axis. The coordinate is \[(0, - 2)\].
Thus we have the coordinate points \[(2.67,0)\] and \[(0, - 2)\].
Let’s plot a graph for this coordinates,
We take scale x-axis= 1 unit = 0.5 units
y-axis= 1 unit = 0.5 units
All we did was expand the line touching the coordinate points \[(2.67,0)\] and \[(0, - 2)\] by a straight line.
Without calculation we found out the few more coordinate points using the graph. The coordinates are \[(4,1),(2, - 0.5)\] and \[( - 2, - 3.5)\].
Note: The intercept method is an easy method to draw the graph. It will give a more accurate line in the graph. A graph shows the relation between two variable quantities, it contains two axes perpendicular to each other namely the x-axis and the y-axis. Each variable is measured along one of the axes. In the question, we are given one linear equation containing two variables namely x and y, x is measured along the x-axis and y is measured along the y-axis while tracing the given equations.
Complete step by step solution:
Given, \[3x - 4y - 8 = 0\].
This can be rewrite as
\[3x - 4y = 8\]
To find the x-intercept. That is the value of ‘x’ at \[y = 0\]. Substituting this in the given equation. We have,
\[3x - 4(0) = 8\]
\[3x = 8\]
Dividing by 3 on both sides,
\[x = \dfrac{8}{3}\]
\[x = 2.666\].
Rounding off we have,
\[x = 2.67\]
Thus we have a coordinate of the equation which lies on the line of x-axis. The coordinate is \[(2.67,0)\].
To find the y-intercept. That is the value of ‘y’ at \[x = 0\]. Substituting this in the given equation we have,
\[3(0) - 4y = 8\]
\[ - 4y = 8\].
Dividing by -4 on both sides
\[y = - \dfrac{8}{4}\]
\[y = - 2\]
Thus we have a coordinate of the equation which lies on the line of the y-axis. The coordinate is \[(0, - 2)\].
Thus we have the coordinate points \[(2.67,0)\] and \[(0, - 2)\].
Let’s plot a graph for this coordinates,
We take scale x-axis= 1 unit = 0.5 units
y-axis= 1 unit = 0.5 units
![seo images](https://www.vedantu.com/question-sets/c3cb07f6-8396-41e3-b883-bae8217334047065595396611674287.png)
All we did was expand the line touching the coordinate points \[(2.67,0)\] and \[(0, - 2)\] by a straight line.
Without calculation we found out the few more coordinate points using the graph. The coordinates are \[(4,1),(2, - 0.5)\] and \[( - 2, - 3.5)\].
Note: The intercept method is an easy method to draw the graph. It will give a more accurate line in the graph. A graph shows the relation between two variable quantities, it contains two axes perpendicular to each other namely the x-axis and the y-axis. Each variable is measured along one of the axes. In the question, we are given one linear equation containing two variables namely x and y, x is measured along the x-axis and y is measured along the y-axis while tracing the given equations.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)