There is no equation on the list you're showing
that has the same graph as [ 4x + 8y = 12 ].
Chat with our AI personalities
4x + 8y = 12
Hence
8y = -4x + 12
Divide both sides by '8'
Hence
y = -x/2 + 3/2
This is a straight line with a sloper of '-1/2' and a y-intercept of 3/2 ( 1 1/2 = 1.5)
It keeps the same shape and size, but the whole thing rises four units on the paper, as if by magic.
y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.
It can be: y = 6x+4
For graphs of parallel lines , the slope is ALWAYS the same, in this case, '-0.5'. However , the constant, '2' in this case, can be any numberyou like. e.g. y = -0.5x + 1,000,000 are parallel lines.
We cannot find out the y and x intercept for the equation 3x plus 5y equals -15 by a single equation . But , we can try a hit and trial method for the same . when x =0 y =-3. when y=0 x=-5.