Answer:Answer: y=x/3−2.
Step-by-step explanation:
find the equation of the line perpendicular to the line y=2−3x passing through the point (3,−1).
The equation of the line in the slope-intercept form is y=2−3x.
The slope of the perpendicular line is negative inverse: m=13.
So, the equation of the perpendicular line is y=x3+a.
To find a, we use the fact that the line should pass through the given point: −1=(13)⋅(3)+a.
Thus, a=−2.
Therefore, the equation of the line is y=x3−2.
Answer: y=x/3−2.
