If the point (2,-2) lies on the graph of the linear equation 5x+ky=4, find the value of k.

From the choices given below, choose the equation whose graph in Fig. 13.13.

(i) y = x

(ii) x+y=0

(iii) y=2x

(iv) 2+3y=7x

[Hint: Clearly, (-1,1) and (1,-1) satisfy the equation x+y=0]

From the choices given below, choose the equation whose graph is given in Fig. 13.14

(i) y=x+2

(ii) y=x-2

(iii) y=-x+2

(iv) x+2y=6.

[Hint: Clearly, (2,0) and (-1,3) satisfy the equation y=-x+2]

Draw the graph of the equation 2x+3y=12. From the graph, find the coordinates of the point.

(i) whose y-coordinates is 3.

(ii) whose x-coordinate is -3.

Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:

(i) 6x–3y=12

(ii) -x+4y=8

(iii) 2x+y=6

(iv) 3x+2y+6=0