Question

Draw the graph of the straight line x=4.

Answer 1

Hint: A graph is a mathematical representation of a network, and it describes the relationship between lines and points. It is a diagram showing the relation between two or more things. There are four most common graphs, which are known as line graphs, bar graphs, histograms and Cartesian graphs.

Complete step-by-step answer:
To draw a graph of a line first, we need to know the equation of the line, and then their coordinates for x and y-axis are found from the line equation which is to be represented on the graph. The general equation of a graph is given by the equation\[y = mx + c\], where m represents the slope of the line and c is the y-intercept and this equation the coordinates of the y-axis is found by substituting any values of x and this method is repeated for different values x which is then plotted on the graph.
Given the equation of the straight line\[x = 4\]or this can be written as \[x - 4 = 0\]
By comparing this equation with the equation of the straight line, we n say there is no y-intercept, and the slope of the line is also undefined since \[m = 0\]
The line \[x = 4\]has its coordinate fixed at \[\left( {4,0} \right)\]and its coordinate is varying, hence by plotting the graph we get

Hence we get the graph for the straight line x=4.

Note: Students must note that whenever any of the axis weather x-axis or the y-axis is zero, the line is a continuous line moving in a positive or negative direction.