Q3 of 39 Page 114

Determine the equation of the line in each of the following graphs:

The general equation of the line is y=mx+c, where m and c are constants.


From the graph, it is visible that the line passes through the point (5, 0) and (0,5).


Substituting both the values in general equation, y=mx + c, we get


0 = m(5) + c ..(i)


5 = m(0) + c ..(ii)


From equation (ii), we get c = 5,


Putting c = 5 in equation (i),


5m + (5) = 0



Putting both m and c in general equation y = mx + c,





So equation of line is x + y = 5


More from this chapter

All 39 →
2

Draw the graph of y/2 = y + 1/x + 2 

 3

Determine the equation of the line in each of the following graphs:

 4

A boat is moving in a river, downstream, whose stream has speed 8 km per hour. The speed of the motor of the boat is 22 km per hour. Draw the graph of the distance covered by the boat versus an hour.

 5

Find the point of intersection of the straight lines 3y+4x=7 and 4y + 3x = 7, by drawing their graphs and looking for the point where they meet.