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

$\huge{\boxed{\frac{5}{2}}}$

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

$\frac{5x}{2}=\frac{5}{2}x$, so change the equation to represent this. $f(x)=\frac{5}{2}x+3$

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