y=2x-2, y=4x-4 graphically
Answers
EXPLANATION.
Equation make in graph.
(a) = y = 2x - 2.
put x = 1 in equation.
⇒ y = 2(1) - 2.
⇒ y = 0.
Co-ordinate = (1,0).
put x = 0 in equation.
⇒ y = 2(0) - 2.
⇒ y = -2.
Co-ordinate = (0,-2).
(b) = y = 4x - 4.
put x = 1 in equation.
⇒ y = 4(1) - 4.
⇒ y = o.
Co-ordinate = (1,0).
put x = 0 in equation.
⇒ y = 4(0) - 4.
⇒ y = -4.
Co-ordinate = (0,-4).
Red line represent the equation y = 2x - 2.
Blue line represent the equation y = 4x - 4.
Answer:
2x−y=2 ----- (1)
−4x−y=−4 ----- (2)
From equation (1)
y=2x−2 ------ (3)
Assume the value of x = 1, 2 and put those values in equation (3)
If x=1,y=2(1)−2=0
If x=2,y=2(2)−2=2
On the above basis, the following points are:
X 1 2
Y 0 2
Now plotting (1, 0), (2, 2) and joining them, we get a straight line.
From equation (2),
−4x−y=−4
y=−4x+4 ------ (4)
Assume the value of x=1,2 and put those values in equation (3)
If x=1,y=−4(1)+4=0
If x=2,y=−4(1)+4=−2
Now table the following points:
X 1 2
Y 0 -2
Plotting (1, 0), (2, -2) and joining them, we get another straight line.
These lines intersect at the point (1, 0) and therefore the solution of the equation is x=1,y=0 (see fig.)
