Respuesta :
Step-by-step answer:
Assuming the equation is y=-x+k,
where k is a constant, such as 5, pi, 10/7, etc.
then the slope is the coefficient of the term containing x, namely
-1 (since -x is a shorthand for (-1)*x ).
For this case we have by definition, that the equation of a line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It is the slope of the line
b: It is the cut point with the "y" axis
We have, according to the data provided, that the line is of the form:
[tex]y = -x + b[/tex]
That means that the slope is -1.
ANswer:
[tex]m = -1[/tex]