Is the equation of a line parallel to the line y -x plus 1 passing through the point (41)?

Answer 1

Hard to answer when the question is not CLEAR ... perhaps you mean

"the line y = -x + 1"

it's not a line unless we have the EQUATION of a line, and you've supplied no EQUATION.

The line I supplied has a bunch of parallel lines, for example

y = -x + 3

y = -x + 10

y = -x

y = -x - 4

and in general

y = -x + c

where c is any constant number you toastie

now, can we find one of these lines that passed through (4, 1)?

(NOTE: to specify a point, stick the coordinates in parens and stick a comma between them ... you toastie)

y = -x + c becomes something like 1 = -4 + c and that would make c = 5 be a good choice for the line we want. Try it! y = -x + 5 sure enough passes through (4,1). What a honey!

Answer 2

The browser used by this site for posting questions is virtually useless for mathematical questions because it strips out most symbols. Your equation appears as "y -x plus 1". I am assuming that it is meant to be y = -x plus 1. In that case the required equation is y = -x + 5.