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9. write the equation for the table below. use y = __x+__

Question

  1. write the equation for the table below. use y = x+

Explanation:

Step1: Find the slope (m)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say $(x_1,y_1)=(0, - 12)$ and $(x_2,y_2)=(1,-7)$. Then $m=\frac{-7-(-12)}{1 - 0}=\frac{-7 + 12}{1}=5$.

Step2: Find the y - intercept (b)

The y - intercept is the value of y when x = 0. From the table, when x = 0, y=-12, so b=-12.

Answer:

$y = 5x-12$