Question

How do I the linear function of f (x) with slope -2 such that f (-4)=23?

Answer 1

Hence it is linear it should have the form `f(x)=a*x+b`
where `a=-2` and `f(-4)=23=>8+b=23=>b=15`

Hence it is `f(x)=-2x+15`

Answer 2

`f(x) = -2x+15`

Explanation:

Start with the slope-intercept form of the equation for a linear function:
`f(x) = mx+b`

Substitute `-2` for `m` (which represents the slope), `-4` for `x`, and `23` for `f(x)`:
`(23) = (-2)(-4) + b`

Then simplify and solve for b by subtracting `8` from both sides:
`23 = 8 + b`
`15 = b`

Finally, substitute `-2` for `m` and `15` for `b` into the slope-intercept form of the equation for a linear function:
`f(x) = (-2)x+(15)`
`f(x) = -2x+15`