Respuesta :

adioabiola

The value of a and b from the given equation y = ax + b is -0.5 and -5

Equation

y = ax + b

  • When y = -4 and x = -2

-4 = -2a + b

  • When y = -4.5 and x = -1

-4.5 = -a + b

-4 = -2a + b

-4.5 = -a + b

  • Subtract the equation to eliminate b

-4 - (-4.5) = -2a - (-a)

-4 + 4.5 = -2a + a

0.5 = - a

a = -0.5

  • Substitute a = -0.5 into

-4 = -2a + b

-4 = -2(-0.5) + b

-4 = 1 + b

-4 - 1 = b

-5 = b

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