Find the constants m and b in the linear function f(x) =mx+b so that f(7) =10 and f has the slope of -7

m = - 7 and b = 59

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 7, thus

f(x) = - 7x + b

To find b substitute (7, 10) into the equation, that is

10 = - 49 + b ⇒ b = 10 + 49 = 59

f(x) = - 7x + 59 ← equation of line