What is the graph of the function $y = 3 x - 2$ $y=3x-2$ ?

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Answer 1 · 2014-10-04T15:14:51

This is a linear equation, the graph of a line.

This function is in slope intercept form, $y = m x + b$ $y=mx+b$ .

$m$ $m$ is the slope
$b$ $b$ is the $y$ $y$ -intercept

In this example the slope is $= \frac{r i s e}{r u n} = 3 = \frac{3}{1}$ $=(rise)/(run)=3=3/1$ and the $y$ $y$ -intercept is $- 2$ $-2$ .

If you are graphing by hand you would start by placing a point on the y-axis at position $(0, - 2)$ $(0,-2)$ .

From point $(0, - 2)$ $(0,-2)$ you would rise ,go up, $3$ $3$ units then to the right $1$ $1$ unit.

Or

From point $(0, - 2)$ $(0,-2)$ you would go down $3$ $3$ units and then to the left $1$ $1$ unit.

Notice the green box that is placed on the starting point $(0, - 2)$ $(0,-2)$ , the $y$ $y$ -intercept .

enter image source here

What is the graph of the function y=3x−2y=3x-2?