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Answers
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Step-by-step explanation:
Solutions:-
A)
y=x is the equation which passes through the origin.
B)
i)Equation of y -axis is x = 0
ii)Given equation is x+ky = 3
If x = -1 and y = 2 then
=> -1+k(2) = 3
=> -1+2k = 3
=> 2k = 3+1
=>2k = 4
=> k = 4/2
=> k = 2
The value of k = 2
iii)Given equation is x+2y = 7
It is a linear equation in two variables
So it has infinitely number of many solutions.
iv)Equation of x-axis y=0
C)
Given equation is 6x+5y = -1
=> 6x+5y+1 = 0
It is in the form of ax+by+c = 0
a = 6
b = 5
c = 1
D)
Given equation is x+y = 4
Put x = 0 then
=> 0+y = 4
=> y = 4
Solution (0,4)
Put y = 0 then
=> x+0 = 4
=> x = 4
Solution = (4,0)
Put x = 1 then
=> 1+y = 4
=> y = 4-1
=> y = 3
Solution = (1,3)
Put y = 1 then
=> x+1 = 4
=> x = 4-1
=> x = 3
Solution = (3,1)
Scale :- On X-axis 1 cm = 1 unit
On Y-axis 1 cm = 1 units