Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
- A equation of line .
- [tex]\rm y = -x-3[/tex]
And we need to find out the gradient of the line. parallel to the given line .The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
- Where m is the slope of the line and c is y intercept .
On comparing it to slope Intercept Form , we have ,
[tex]\implies \rm Slope (m) = (-1)[/tex]
And the slope of the line , parallel to a line is same as that of the given line. Therefore they will have same gradient.
[tex]\implies \boxed{\rm Slope_{(||\ line)} (m) = (-1)}[/tex]
Hence the gradient of the line is (-1) .
