Question

Write a linear function f with the values f (0) =-1 and f (3)= -10

Answer 1

The linear function is
`y = -3x -1`.

Explanation:

A linear function is given by the formula,

`y = (m)x + c`, where m is the slope and c is the y intercept of function.

The following two points lie on the graph; (0,-1) and (3,-10)

Inserting this two points we get,

`-1 = c`

`-10 = (m)(3) + c`,

solving this two equations we get,

m = -3 and c= -1

Thus, the linear function is given by,

`y = -3x -1`