Answer:
y = -x
Step-by-step explanation:
Let the equation representing the table attached is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Slope of the line passing through (23, -23) and (33, -33),
m = [tex]\frac{-33+23}{33-23}[/tex]
m = -1
Equation of the line will be,
y = -x + b
Since, this line passes through another point (43, -43),
-43 = -43 + b
b = 0
Therefore, equation of the line representing the table will be,
y = -x
