Weare askedt to find the line that is perpendicular to the line given by: y = -1/3 x + 1
And we are shown a number of equations all of them given in slope-intercept form.
We know that for a line to be perpendicular to another, the slopes should be one the "opposite of the reciprocal" of the other's slope.
So, sinc ethe given slope id "- 1/3", then the "Opposite of the reciprocal" of this is: "3/1" = 3.
Then we look for an answer that shows "3" as the slope of the line. We find such in the equation listed as first option.
Y = 3 x - 5