Answer:
y = x + 4
Step-by-step explanation:
Let the equation of the linear function represented by the table is,
[tex]y-y_1=m(x-x_1)[/tex]
where m = slope of the line
And this line passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Slope of the given line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given table two points lying on the function are (-4, 0) and (1, 5).
Slope 'm' = [tex]\frac{5-0}{1+4}[/tex] = 1
Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,
y - 5 = (x - 1)
y = x + 5 - 1
y = x + 4
