Respuesta :

For this case, we have that by definition, if two lines are parallel, then their slopes are equal, that is, it is fulfilled:

[tex]m_ {1} = m_ {2}[/tex]

So, if we have:

[tex]y = f (x)[/tex]

Where [tex]f (x) = - 2x + 3[/tex]

This line has [tex]m_ {1} = - 2[/tex]

So, a line parallel to it will have:

[tex]m_ {2} = - 2[/tex]

Answer:

[tex]m_ {2} = - 2[/tex]

Answer:

-2 is slope of line parallel to f(x) = -2x+3.

Step-by-step explanation:

We have given a function.

f(x) = -2x+3

f(x) = mx+c is equation of line where m is slope and c is y-intercept.

Comparing both of above equation, we have

m = -2   and c = 3

Hence, line have slope equal to -2.

Parallel lines have equal slopes.

hence, the line parallel to f(x) = -2x+3 have slope equal to -2.

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