Answer:
Step-by-step explanation:
Function given by the table represents a linear function.
a). Since, slope of a linear function passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the linear function passing through two points (0, -5) and (2, 1) will be,
Slope = [tex]\frac{1+5}{2-0}=3[/tex]
b). Let the equation of the function is,
y = mx + b
Where m = slope of the function
b = y-intercept
Here slope of the function 'm' = 3
y-intercept of he function = -5 [y-value of the function at x = 0]
Therefore, the function is,
y = 3x - 5
