Answer

Verified

387.6k+ 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,

\[y = 4x + 8\].

To find the x-intercept. That is the value of ‘x’ at \[y = 0\]. Substituting this in the given equation. We have,

\[0 = 4x + 8\]

Rearranging we have,

\[4x = - 8\]

Divide the whole equating by 4.

\[x = \dfrac{{ - 8}}{4}\]

\[x = - 2\].

Thus we have a coordinate of the equation which lies on the line of x-axis. The coordinate is \[( -2,0)\].

To find the y-intercept. That is the value of ‘y’ at \[x = 0\]. Substituting this in the given equation we have,

\[y = 4x + 8\]

\[y = 4(0) + 8\].

\[y = 8\]

Thus we have a coordinate of the equation which lies on the line of the y-axis. The coordinate is \[(0,8)\].

**Thus we have the coordinates \[( - 2,0)\] and \[(0,8)\].**

Let’s plot a graph for this coordinates,

All we did was expand the line touching the coordinates \[( - 2,0)\] and \[(0,8)\].

Without doing the calculation we found out one more coordinate. (See in the graph). The coordinate is (-1, 4).

**Note:**Follow the same procedure for drawing the graph of any given equation. 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

Which of the following is correct regarding the Indian class 10 social science CBSE

Who was the first sultan of delhi to issue regular class 10 social science CBSE

The Nagarjuna Sagar project was constructed on the class 10 social science CBSE

Which one of the following countries is the largest class 10 social science CBSE

What is Biosphere class 10 social science CBSE

Read the following statement and choose the best possible class 10 social science CBSE

Trending doubts

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

10 examples of law on inertia in our daily life