Create a linear function that has a rate of change of - 3 and a solution at (5,2)

y = - 3x + 17

Step-by-step explanation:

Note that slope is a measure of the rate of change of a linear function.

Express the function in slope - intercept form

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

here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (5, 2) into the partial function

2 = - 15 + c ⇒ c = 2 + 15 = 17

y = - 3x + 17 ← is the linear function