Question

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

Answer 1

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

now, we can find slopes

slope of f(x):

we are given

`f(x)=2x+3`

now, we can compare it with

`f(x)=mx+b`

where m is slope

b is y-intercept

we can compare

and we get

`m=2`

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

`m=(y_2-y_1)/(x_2-x_1)`

now, we can plug values

`m=(3+2)/(1-0)`

so, we get

`m=5`

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