Write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

ANSWER[tex]y-1= \frac{1}{3} (x- 6)[/tex]EXPLANATIONWe want to write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.The slope of this line is negative reciprocal of -3.[tex]m = - \frac{1}{ - 3} = \frac{1}{3} [/tex]The point-slope form is given by:[tex]y-y_1=m(x-x_1)[/tex]We substitute the point and the slope to get;[tex]y-1= \frac{1}{3} (x- 6)[/tex]