(-1,4), x+y=5

Question

write an equation of the line containing the specified points and perpendicular to the indicated line

Answer 1

y = -x + 5; rewritten the above equation

slope = -1

condition for perpendicular is -1 * m = -1 where m is the slope of the line which is perpendicular.

So, m = 1;  Equation of the perpendicular line is y = x + c (this line passes through the point (-1,4))

So,  4 = -1 + c

c = 5

So the desired equation is y = x + 5