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$y=mx+b $

The slope $m$ and $y-$intercept $b$ are used to graph the equation. Consider the following function.
$y=2x−3 $

There are three steps to follow to graph it.
1

Plot the $y-$Intercept

The $y-$intercept $b$ can be used to find the the first point the line passes through.

$y=2x−3⇔y=2x+(-3) $

The $y-$intercept $b$ is $-3.$ Plot the point $(0,-3)$ on a coordinate plane. 2

Use the Slope to Plot the Second Point

There should be at least two points to draw a line. The second point can be plotted on the coordinate plane by using the slope $m.$ Based on the equation, the slope is $2.$

$y=2x+(-3) $

This means that the rise is $2$ and the run is $1.$ $m=runrise ⇔2=12 $

From the first point $(0,-3),$ move $1$ unit right and $2$ units up to plot the second point. 3

Draw a Line Through the Points

Finally, use a straightedge to draw a line through both points.

This line is the graph of $y=2x−3.$