Below are two different functions, f(x) and g(x). what can be determined about their slopes? f(x) = 2x + 3 the function g(x) going through 0, −2 and 1, 3

we are given two functions  f(x) and g(x)

now, we can find slopes

slope of f(x):

we are given

now, we can compare it with

where m is slope

b is y-intercept

we can compare

and we get

so, slope is 2

slope of g(x):

we are given two points as

(0,-2) and (1,3)

x1=0 , y1=-2 , x2=1 , y2=3

now, we can use slope formula

now, we can plug values

so, we get

so, slope is 5..........Answer

the answers c

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have