Q4 of 39 Page 141

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

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:



i)the value of y when x = 4 is y = 6 (pt. E)


ii) the value of x when y = -3 is y = -5 (pt. F)


More from this chapter

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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?

 3

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

 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

 6

Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes

6x - 3y = 12