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

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Answer 1 · 2018-03-16T15:56:12

See below.

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

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

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

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

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

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

$therefore 0=3-2x$
$=> 2x = 3$
$x=3/2$

$therefore$ an x intercept at $(3/2 , 0)$

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