How do you find slope and intercepts to graph f(x) = 3-2x?

Mar 16, 2018

See below.

Explanation:

$f \left(x\right) = 3 - 2 x$ is a fancy way of saying $y = 3 - 2 x$

We know that the standard form of a straight line equation is

$y = m x + c$ where $m$ is the gradient (slope) and $c$ is the y intercept ( occurring at $\left(0 , c\right)$) .

$\therefore$ the slope is $- 2$ as $m = - 2$

The y intercept is at $\left(0 , 3\right)$ as $c = 3$

Now the x intercept will occur at $\left(x , 0\right)$
We know that the graph will intercept the y axis at the line $y = 0$.

$\therefore 0 = 3 - 2 x$
$\implies 2 x = 3$
$x = \frac{3}{2}$

$\therefore$ an x intercept at $\left(\frac{3}{2} , 0\right)$