A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

a.y = 8x + 7
b.y = 8x – 7
c.y = –8x + 7
d.y = –8x – 7

Question

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

a.y = 8x + 7
b.y = 8x – 7
c.y = –8x + 7
d.y = –8x – 7

mathmale · Answer

Choice a is identical to (coincident with) the given equation.
Choice b is identical EXCEPT that the constant (y-intercept) is different.
Choices c and d have negative slopes, as well as one + y-intercept and one - y-intercept.

Does this ring any bells for you?  
Ask yourself:  What does it mean if 2 equations have no solution?

karolynxx · Answer

so a?