Question

Determine which of the following lines the point (2, -2) lies on.

y = 2x + 2
y = 2x - 2
y = 2x + 6
y = 2x - 6

Answer 1

`\bf (\stackrel{x}{2},\stackrel{y}{-2})\qquad y=2x+2\implies -2=2(2)+2\implies -2\\e 6~~\bigotimes \\\\\\ (\stackrel{x}{2},\stackrel{y}{-2})\qquad y = 2x-2\implies -2=2(2)-2\implies -2\\e 2~~\bigotimes \\\\\\ (\stackrel{x}{2},\stackrel{y}{-2})\qquad y=2x+6\implies -2=2(2)+6\implies -2\\e 10~~\bigotimes \\\\\\ (\stackrel{x}{2},\stackrel{y}{-2})\qquad y=2x-6\implies -2=2(2)-6\implies -2=-2~~\checkmark`