Question

Graph $y = 6$ using intercepts.

Answer 1

Hint: For plotting a graph we need different x values as well as their corresponding y values. Such that to solve this question we need to find the x intercept and y intercept. Also the x-intercept and y-intercept can be found by substituting y=0 and x=0 respectively. After finding these values we just need to plot them on the XY plane.

Complete step-by-step solution:
Given
$y = 6...........................\left( i \right)$
Now here we have to graph $y = 6$ using intercepts.
So here we need to find the x intercept, y intercept only rather than finding other intermediate points for plotting.
X intercept is the point where the graph touches the X axis such that \[y = 0\].
But on observing (i) we can say that the graph does not pass the X axis since there is no $x$ variable.
Such that for the function $y = 6$ we have no x intercept.
Now let’s find the y intercept:
Y intercept is the point where the graph touches the Y axis such that \[x = 0\].
Now on observing (i) we can say that for the graph $y = 6$ have the same value of $y$ for any value of $x$.
Such that even for \[x = 0\] we have $y = 6$.
\[\therefore y{\text{ intercept}} = \left( {0,6} \right)\]

Now on plotting \[y{\text{ intercept}} = \left( {0,6} \right)\]on the XY plane we get:

The above graph shows the plot of$y = 6$.

Note: Here, in the given question the interval refers to the time difference between the given time period. Students need to remember that while solving these questions they will just need to find the number of hours between the given time period in the question. Time difference will remain the same across all the time systems.