What is the equation of the line which has a slope of 0 and passes through the point (2,3)?

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Jim G. Share
Feb 3, 2018

$\text{see explanation}$

Explanation:

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

•color(white)(x)y=mx+b

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

$\text{a line with a slope of zero, however, is a special case}$

$\text{this indicates that the line is parallel to the x-axis passing}$
$\text{through all points in the plane with the same y-coordinate}$

$\text{the equation of this line is } y = c$

$\text{where c is the value of the y-coordinate}$

$\text{the point "(2,3)" has a y-coordinate of 3}$

$\Rightarrow y = 3 \leftarrow \textcolor{b l u e}{\text{is the equation of the line}}$
graph{y-0.001x-3=0 [-10, 10, -5, 5]}

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Feb 3, 2018

$y = m x + b$
$y = 3$

Explanation:

The slope interception form is given as
$y = m x + b$
There m is the slope and b the interception with the y-axis.
In your case $m = 0$ and $b = 3$. Therefore, it is just a straight line.

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