Answer:
y=-x+3
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.
In order to find the perpendicular slope, we should take the current slope's negative reciprocal. We have:
[tex]-\frac{1}{1} =\\-1[/tex]
Therefore, our perpendicular slope is -1. We now have equation:
[tex]y=-x+b[/tex]
We can plug in the known values of the point (-1,4) to solve for b.
[tex]4=(-1)*(-1)+b\\4=1+b\\b=3[/tex]
If we now put what we found together, we have equation
[tex]y=-x+3[/tex]
I hope this helps! Let me know if you have any further questions :)
