Answer:
\(x+y=2\)
Step-by-step explanation:
Given : A line with slope –1 through the point (–3, 5).
To find : Which equation is in standard form and represent a line ?
Solution :
The standard slope form is \((y-y_1)=m(x-x_1)\)
Where, m is the slope of line m=-1
\((x_1,y_1)=(-3,5)\) is the point through which line passes.
Substitute in the equation,
\((y-5)=-1(x-(-3))\)
\((y-5)=-1(x+3)\)
\(y-5=-x-3\)
\(y+x=5-3\)
\(x+y=2\)
Therefore, The standard form is \(x+y=2\)