Question

Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.

Answer 1

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:

$-\frac{1}{1} =\\-1$

Therefore, our perpendicular slope is -1. We now have equation:

$y=-x+b$

We can plug in the known values of the point (-1,4) to solve for b.

$4=(-1)*(-1)+b\\4=1+b\\b=3$

If we now put what we found together, we have equation

$y=-x+3$

I hope this helps! Let me know if you have any further questions :)