Answer: B. y=3x+7.5
Step-by-step explanation:
First, you find m by doing [tex]\frac{y_2 - y_1}{x_2 - x_1} =m[/tex] . You end up with [tex]m=2[/tex] . Then you plug it into [tex](y-y_0)=m(x-x_0)[/tex] to find the b in [tex]y=mx+b[/tex] . When you do that, you get [tex]b=7[/tex] . So, you end up with the equation of the table as [tex]y=2x+7[/tex] and since it's a linear function, the slope (m) won't change. Now you compare this equation to the others given. The slope in answer A is too small and the y-intercepts in answers B and C are too small, so you are left with b as your only option.
