What is the equation of the line passing through (1, 7) and parallel to the line y = –x + 5 in standard form?

Question

anonymous · Answer

y=-x+8

anonymous · Answer

parallel lines have the same slope

anonymous · Answer

these are the options: 
		
x + y = 8
		
x – y = 8
		
x + y = –8
		
x – y = –8

anonymous · Answer

a

anonymous · Answer

being parallel to y=-x+5 your required equation is y=-x+k(say) as parallel lines have the same slope
since the line passes through (1,7) substitute in the above equation 7=-1+k
which gives you k=8
therfore the requied equation is y=-x+8

anonymous · Answer

so its a

anonymous · Answer

Solve the following for x and them move -y from the RHS to the LHS.$$\frac{y-7}{x-1}=-1$$
$$x+y=8 $$