Answer:
y = 3x -1
Explanation:
You want the linear equation describing the table with values (x, y) = (-1, -4) and (3, 8).
Slope
The slope of the line is ...
m = (y2 -y1)/(x2 -x1) = (8 -(-4))/(3 -(-1)) = 12/4 = 3
Y-intercept
The y-intercept of the line is ...
b = y -mx
b = -4 -3(-1) = -1
Equation
The slope-intercept equation is ...
y = mx +b
y = 3x -1 . . . . . function shown in the table
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