1.

Draw the graph of the equation x+2y =4, use graph to find : (a) X_(1), the value of x when y =4 (b) Y_(1) the value of y when x= -2

Answer»


Solution :Given EQUATION is x+2y =4
`rarr` x=4-2y
Let y=0 then x=4-2 `xx` 0=4
Let y =1then x=4-2`xx` 1=2
Let y =2 thenx=4-2`xx`2=0
Table for values:
Plot the points (4,0), (2,1) and (0,2) on same graph and join.

(a) To find `x_(1)` the VALUE of x when y =4 draw a horizontal line through y =4 which meets AB at C. Through C, draw a vertical line which meets x axis at x=-4
`therefore` At y =4 we GET x =-4
(b) To find `y_(1)` the value of y, when x =-2 draw a vertical line through x = -2 which meets AB at D. Through d draw a horizontal line which meets y axis at y =3
`therefore` At x=-2 we get y =3


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