we are given two functions f(x) and g(x)
now, we can find slopes
slope of f(x):
we are given
[tex] f(x)=2x+3 [/tex]
now, we can compare it with
[tex] f(x)=mx+b [/tex]
where m is slope
b is y-intercept
we can compare
and we get
[tex] m=2 [/tex]
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
[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]
now, we can plug values
[tex] m=\frac{3+2}{1-0} [/tex]
so, we get
[tex] m=5 [/tex]
so, slope is 5..........Answer
