Answer:
y=x+3
Explanation:
perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.
here is the equation: y=-x+4
the slope is -1
here is the equation to find the slope of the perpendicular line:
-1m=-1
multiply by -1
m=1
here is the new line so far: y=1x+b
now, we can substitute the point (2,5) into the equation, since the equation will pass through that point to find b (the y intercept)
5=1(2)+b
5=2+b
3=b
the equation of the line is y=1x+3, or y=x+3
Hope this helps!