Question

Which is the equation for the linear function $f$ in the form $f(x)=mx+b$ that has the given values?
$f(-2)=-8, f(-1)=-6$
A) $f(x)=2x-20$
B) $f(x)=-2x-20$
C) $f(x)=-2x$
D) $f(x)=2x-4$

Answer 1

Answer:

d

Step-by-step explanation:

f(-2)= -8

f(-1) = -6

f(x) = mx + b

f(-2) = m×(-2)+b = -8

= -2m+b = -8. (1)

f(-1) = -m+b = -6. (2)

substract eq (2) from EQ (1)

we get

-m = -2

=> m = 2

putting vlaue of m in eq (2)

we get

-2+b = -6

=>b = -6+2 = -4

then the given equation is

f(x) = 2x-4