Given a table represents a linear relation between x and y
We will use two points from the table to write the equation of the line in the slope-intercept form: y = mx + b
As shown in the table:
When x = -1, y = 0
When x = 0, y = -4
we will find the slope (m) as follows:
[tex]slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-0}{0-(-1)}=\frac{-4}{1}=-4[/tex]
The value of b = the value of y when x = 0
So, b = -4
So, the answer will be option D. y = -4x - 4
