Respuesta :
Answer:
f(x)=-1/4x-2
Step-by-step explanation:
m=-3-(-2)/4-0=-1/4= slope
b=y-intercept=-2,
so f(x)=-1/4x-2
A linear function f with f(4)=−3 and f(0)=−2 is
[tex]f(x)=-\frac{1}{4}x-2[/tex]
Given :
a linear function f with f(4)=−3 and f(0)=−2.
f(0)=-2. It means y intercept is -2
Linear equation of a line is given by y=mx+b
where m is the slope and b is the y intercept
y intercept b is -2
Lets find out slope m . Lets use f(4)=-3 that is when x=4 the value of y is -3
[tex]y=mx+b\\y=mx-2\\x=4, y=-3\\-3=m(4)-2\\-3+2=4m\\-1=4m\\m=-\frac{1}{4}[/tex]
Now we replace in the equation of line y=mx+b
[tex]y=mx+b\\y=-\frac{1}{4}x-2[/tex]
Replace y with f(x) to get linear function
[tex]f(x)=-\frac{1}{4}x-2[/tex]
Learn more: brainly.com/question/19065330
