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Answer 1

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Answer:

y = -2x + 3

Explanation:

We can write an equation in slope-intercept form. Use the slope formula to find the rate of change in the table:

`m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)`

Plug in values from the table:

`m = (5 - 7)/(-1 - (-2))`

Simplify:

m = -2 (rate of change)

Use a point from the table (-2, 7) and the slope to solve for the equation for the linear function:

7 = -2(-2) + b

7 = 4 + b

7 -4 = b

b = 3

Rewrite:

y = -2x + 3 is the equation for the linear function.