Question

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

Answer 1

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

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.

Answer 2

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`