"Find the constants m and b in the linear function f(x) = mx + b so that f(2) = 10 and the straight line represented by f has slope -5."

For some reason, I can't figure this out. Any help + the process would be greatly appreciated!

Question

"Find the constants m and b in the linear function f(x) = mx + b so that f(2) = 10 and the straight line represented by f has slope -5."

For some reason, I can't figure this out.  Any help + the process would be greatly appreciated!

ybarrap · Answer

f(x) = mx + b
m = slope = -5
f(2) = 10 = (-5)(2) + b
b = 10 + 10 = 20

Ans. m=-5, b = 20