Question

Correct answer gets marked brainliest!

Answer 1

Answer:

y = -3x + 7

Step-by-step explanation:

Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 16}{-1 -(-3} = \frac{-6}{2} = -3$.

We would get the same rate of change if we use any other two pairs of values in the data given.

Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.

To represent y as a function of x, find b, since we know the rate of change (m).

Substitute x = -3, y = 16 and m = -3 in y = mx + b.

Thus:

16 = (-3)(-3) + b

16 = 9 + b

Subtract 9 from each side

16 - 9 = b

7 = b

b = 7

Substitute m = -3 and b = 7 in y = mx + b

The function would be:

✅ y = -3x + 7