Question

Find the slope of the function f ( x ) = 5x/2 + 3, by the definition of limit. Express answer as a fraction using the "/" key as the fraction bar.

Answer 1

`\huge{\boxed{(5)/(2)}}`

Slope-intercept form is
`f(x)=mx+b`, where
`m` is the slope and
`b` is the y-intercept.

`(5x)/(2)=(5)/(2)x`, so change the equation to represent this.
`f(x)=(5)/(2)x+3`

Great! Now the function is in slope-intercept form, so we can just see that
`m`, or the slope, is equal to
`\boxed{(5)/(2)}`