Question

graph of 4y-4x=1

Answer 1

4y-4x=1

y-x = 1/4

y = x + 1/4

Answer 2

y=x is a line forming 45' with the positive x-axis.

y = x+1/4 is the same line but shifted 1/4 to the left along the x-axis.

Answer 3

thank you for your time

Answer 4

It is normal to consider the shift to be in the vertical direction.
In this case, because the gradient is 1, the answer is the same.

However in the general expression for a straight line
y = mx +c

m gives the slope (in this example m= 1)
c gives the intersect on the Y axis (in this case it IS = 1/4)

BUT your solution is true ONLY because m=1

Answer 5

For example:
4y-8x=1
y = 2x+1/4

Answer 6

Previous drawing seem to have been corrupted - 2nd attempt...

Answer 7

no - drawings all seem to have displaced the text.

Note on the graph - the height of the intersect on the Y axis (vertical) = 1/4
BUT intersect on X axis (horizontal) = 1/8

Answer 8

once again I thank you for your time and effort, my grandson has grasped the concept