f(-4)=8 and f(-1)=4 write a linear equation y=f(x)

Question

It has to be written for and equation for a linear function and then I have to graph it to get the all of the answer for the problem correct

Answer 1

The standard linear equation is y = mx + b.  You are given 2 values for x and y, you must solve for m and b using a system of linear equations:

 

8 = -8(m) + b

4 = -1(m) + b  solve using elimination (subtract the second equation from the first)

 

4 = -7m

 

m = -4/7  and use this in the second equation to solve for b

 

4 = -1(-4/7) + b

 

b = 24/7