Answer:
[tex]x+y=2[/tex]
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 [tex](y-y_1)=m(x-x_1)[/tex]
Where, m is the slope of line m=-1
[tex](x_1,y_1)=(-3,5)[/tex] is the point through which line passes.
Substitute in the equation,
[tex](y-5)=-1(x-(-3))[/tex]
[tex](y-5)=-1(x+3)[/tex]
[tex]y-5=-x-3[/tex]
[tex]y+x=5-3[/tex]
[tex]x+y=2[/tex]
Therefore, The standard form is [tex]x+y=2[/tex]
