Skill: Write equations in slope-intercept form

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Detailed Explanation: Write equations in slope-intercept form

Slope-intercept form is

y=mx+b

where:

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

To write an equation in this form, isolate $y$ .

Example: Write $2x+y=6$ in slope-intercept form.

Start with the equation:

2x+y=6

Subtract $2x$ from both sides:

y=6-2x

Reorder the terms so the $x$ -term comes first:

\boxed{y=-2x+6}

The equation is now in slope-intercept form. Its slope is $-2$ , and its $y$ -intercept is $6$ .

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Equation of a Line from Coordinates of Points

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