Answer: B) function 1 has a slope of 4, function 2 has a slope of 2
Step-by-step explanation:
Function 1: y = 4x + 5
It is already in slope-intercept format (y = mx + b) so m = 4
Function 2: (1, 6) and (3, 10)
Use the slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{10-6}{3-1}\\\\m =\dfrac{4}{2}\\\\\bold{m =2}[/tex]
Function 1: m = 4
Function 2: m = 2
So, Function 1 has the greater slope (aka rate of change).
