What does $y = m x + b$ $y = mx + b$ mean?

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What does $y = m x + b$ $y = mx + b$ mean?

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Answer 1 · 2014-10-07T03:07:42

This is a linear equation. A linear equation is the representation of straight line.

This particular equation is called slope intercept form.

The $m$ $m$ in the formula is the slope.

The $b$ $b$ in the formula is where the line intersects the $y$ $y$ -axis is this called the $y$ $y$ -intercept.

Answer 2 · 2016-11-26T18:04:27

A linear equation in two variables, $x$ $x$ & $y$ $y$ . Graphically it represents, a straight line with slope $m$ $m$ and $y$ $y$ - intercept as $b$ $b$ .

Explanation:

A linear equation (an equation with highest power on variable as 1 ), graphically represents a straight line on 2-D plane (graph).

The given equation is written in slope - intercept form.

In $y = m x + b$ $y = mx + b$ :

$m$ $m$ = slope or gradient of the given line ie representing the value of $tan θ$ $tan theta$ , where $θ$ $theta$ is the angle made by line with $x$ $x$ axis anticlockwise (Note : $m$ $m$ gives value of $tan θ$ $tan theta$ and not $θ$ $theta$ ).

$b$ $b$ = $y$ $y$ - intercept ie the point where the given line cuts the $y$ $y$ axis.

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What does $y = m x + b$ $y = mx + b$ mean?

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