Question

What linear function can be represented by the set of ordered pairs?

{(-4, 15), (0,5), (4,
5), (8, -15)}
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Basic
Subscript
0100
N​

Answer 1

`f(x)=-(5)/(2)x+5`

Explanation:

The given points are (-4, 15), (0,5), (4,

-5), (8, -15)}

Let the linear function be
`f(x)=mx+b`

Using (0,5), we substitute have the y-intercept to be
`b=5`

The function now becomes:
`f(x)=mx+5`

Using (-4,15), we substitute x=-4, f(x)=15 to find m.

`15=m*-4+5`

`-4m=15-5`

`-4m=10`

`m=-(10)/(4)=-(5)/(2)`

The required linear function is
`f(x)=-(5)/(2)x+5`