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Line equation slope-intercept form of a line $\"\"$ , where $\"\"$ is slope and $\"\"$ is $\"\"$ -intercept.

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Observe the graph:

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Intersecting points of the line are $\"\"$ and $\"\"$ .

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Find the slope of the line.

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The formula for slope is $\"\"$ .

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Substitute $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ , $\"\"$ for $\"\"$ and $\"\"$ for $\"\"$ in above formula.

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$\"\"$

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$\"\"$ .

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Substitute the value of $\"\"$ in slope-intercept form.

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$\"\"$

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$\"\"$ .

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Find the $\"\"$ -intercept by substituting either of two points in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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The line equation in slope-intercept form is $\"\"$ .