Which of the following is the equation of a line perpendicular to the line y=-1/3x+1, passing through the point (2,7)?

Y= 3X + 1. Perpendicular means you would change the slope by flipping it and changing the sign. So the slope then becomes 3. Then you use your points to find the y-intercept by filling in the variables. 7=3(2) + B. 7=6 + B. Then subtract 6 from both sides. B=1. Then you just put your problem back into slope intercept form with your new slope and y-intercept. Y=3x + 1.