# How do you find the linear function, f(x)=mx+b, whose graph has the given slope -9/5 and y intercept is (0,-3)?

Dec 10, 2017

$f \left(x\right) = - \frac{9}{5} x - 3$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where m is the slope and b the y-intercept}$

$\text{here "m=-9/5" and } b = - 3 \leftarrow \left(0 , - 3\right)$

$\Rightarrow f \left(x\right) = - \frac{9}{5} x - 3 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$