Question

Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

Answer 1

I think the answer is m= -1/3 b=7/3

Step-by-step explanation:

so first, you need to make equations using the info that the question gave.

f(-2)= m(-2)+b f(4)= m(4)+b

= -2m+b =4m+b

f(-2)= 3 f(4)= 1

-2m+b= 3 4m+b=1 -(2)

b= 3+2m -(1)

substitute (1) into (2) : 4m+(3+2m)=1

4m+2m+3=1

6m=1-3

6m= -2

m= -2/6

m= -1/3

Substitute m= -1/3 into (2)

4(-1/3) + b=1

-4/3 +b =1

b= 1+ 4/3

b= 7/3

Therefore, m= -1/3 b=7/3

and that's how you do it