Answer:
y = x - 5
Step-by-step explanation:
The equation of the line parallel to the line [tex]$ ax + by + c_1 = 0$[/tex] is [tex]$ ax + by + c_2 = 0 $[/tex].
That is, equations of parallel lines differ only by constant.
The given equation is [tex]$ y = x + 4 $[/tex]
This is written as [tex]$ x - y + 4 = 0 $[/tex]
Therefore, the equation of the line parallel to this line is given by [tex]$ x - y + c = 0 $[/tex]
The value of c is determined using the point given.
Substituting the point (3,-2) we get:
[tex]$ 3 + 2 + c = 0$[/tex]
[tex]$ \implies c = -5 $[/tex]
Therefore, the equation of the line becomes y = x - 5.
Answer:
Answer:
y = x - 5
Step-by-step explanation:
The equation of the line parallel to the line is .
That is, equations of parallel lines differ only by constant.
The given equation is
This is written as
Therefore, the equation of the line parallel to this line is given by
The value of c is determined using the point given.
Substituting the point (3,-2) we get:
Therefore, the equation of the line becomes y = x - 5.
Step-by-step explanation:
