Respuesta :

Answer:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Step-by-step explanation:

The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.

✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):

Slope (m) = change in y/change in x

= (6 - 9)/(4 - 2)

= -3/2

m = -³/2

✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b

Thus,

9 = -³/2(2) + b

9 = -3 + b

9 + 3 = b

b = 12

The missing numbers are -³/2 and 12.

Which will give us:

[tex] y = -\frac{3}{2}x + 12 [/tex]

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