Question

The graph for the equation y=-2x+1 is shown below.

ch
-3
-2 -2
х
-2
-3
If another equation is graphed so that the system has no solution, which equation could that be?
O y=-2(x-3)
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Answer 1

B. y = -1/2 (4x + 2)

Explanation:

hope this is the answer that you are looking for :)

Answer 2

Explanation:

Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So

y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.