Question

Please help solve this problem
Write an equation for the linear function f in the form f(x) = mx+b that has the given value.
f(-4)=4, f(1)=-6

Answer 1

-4m+ b = 4
m + b = -6
solve these equations,
m= -2, b = -4

so, f(x ) = -2x -4

Answer 2

m is the slope, which can be found by
\[(y _{2}-y _{1})/(x _{2}-x _{1})\]
Then you can plug m and one of the points in to the equation y=mx+b to solve for b.