Answer:
y=−x/2+2.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=2x−5.
The slope of the perpendicular line is negative inverse: m=−12.
So, the equation of the perpendicular line is y=−x/2+a.
To find a, we use the fact that the line should pass through the given point: 3=(−12)⋅(−2)+a.
Thus, a=2.
Therefore, the equation of the line is y=−x/2+2.
