Respuesta :
The values of m and b that creates a system of equations with no solution are; m = -2 and b = - ¹/₃ or -²/₃
How to find the solution to an equation?
The first function is given as;
y = -2x + ²/₃
Now, a linear System that has no solutions is graphically represented by two parallel lines and will have the same slope. Thus, for the equation; y = mx + b, it means that m must be equal to -2.
Thus, if m = -2 then b may be either equal to -1/3 or -2/3 according to the given options.
Given the alternatives, the no Solution System is;
y = -2x + ²/₃
y = -2x - ¹/₃
or y = -2x + ²/₃
y = -2x - ²/₃
Complete question;
Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of equations. y equals m x plus b. y equals negative 2 x plus StartFraction 3 over 2 EndFraction. A coordinate grid with a line labeled y equals negative 2 x plus StartFraction 3 over 2 EndFraction and passes through the points (9, 1.5) and (1, 0.5). m = –3 and b = m equals negative 3 and b equals negative StartFraction 2 over 3 EndFraction. m = –2 and b = m equals negative 3 and b equals negative StartFraction 1 over 3 EndFraction. m = 2 and b = m equals 2 and b equals negative StartFraction 2 over 3 EndFraction. m = m equals StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction and b = m equals negative StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction m = -2 and b = m equals negative 2 and b equals negative StartFraction 2 over 3 EndFraction
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