Q3 of 39 Page 141

Draw the graph of the equation 2x + 3y = 11. Find from the graph value of y when x = 1

For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.

(Note: ∵ equation is linear graph will always be straight line.)


Table of solutions for the given equation-



GRAPH:



From the graph (pt. E) we can see that for x = 1, the y = 3.


(Note: Also we can put x = 1 in the given equation and can find the value of y-


We have,


At x = 1,



⇒ y = 3


More from this chapter

All 39 →
2

Draw the graph of each of the following linear equations.

y = -3x

 2

Answer the following question related to above graphs.

i) Are all these equations of the form y = mx, where m is a real number?


ii) Are all these graphs passing through the origin?


iii) What can you conclude about these graphs?

 4

Draw the graph of the equation y - x = 2. Find from the graph

i) the value of y when x = 4


ii) the value of x when y = -3

 5

Draw the graph of the equation 2x + 3y = 12. Find the solutions from the graph

i) Whose y-coordinate is 3


ii) Whose x-coordinate is -3