The taxi fare in a city is as follows: For the first kilometre, the fare is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as km and total fare as Rs y, write a linear equation for this information, and draw its graph.

**Solution:**

Total distance covered km

Fare collected for 1st km = Rs 8

Fare collected for remaining kms at the rate of Rs 5 per km = Rs

Total fare collected = Rs

According to given condition, we have

This equation represents the given situation.

To draw graph of , we will find 3 or 4 set of solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Similarly, putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Therefore, four different solutions for equation are:

Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.