Question

Given the following linear function, determine the slope of a line parallel to f(x): f(x) = -2x + 3.

Answer 1

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

$m_ {1} = m_ {2}$

So, if we have:

$y = f (x)$

Where $f (x) = - 2x + 3$

This line has $m_ {1} = - 2$

So, a line parallel to it will have:

$m_ {2} = - 2$

Answer:

$m_ {2} = - 2$

Answer 2

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.