Answer:
Step-by-step explanation:
x y Difference (d)
-1 -1 -
0 -0.5 -0.5 - (-1) = 0.5
1 0 0 - (-0.5) = 0.5
2 0.5 0.5 - 0 = 0.5
3 1 1 - 0.5 = 0.5
There is a common difference (d) = 0.5
Therefore, table represents a linear function.
Let the equation of the linear function is,
y = mx + b
Here, m = Slope and 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] will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Two points from the given table are (-1, -1) and (0, -0.5)
m = [tex]\frac{-0.5-(-1)}{0-(-1)}[/tex]
m = 0.5
Y-intercept of the line 'b' = -0.5 (Value of y at x = 0)
Therefore, equation of the line will be,
y = 0.5x - 0.5
