$\"\"$

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Observe the graph, imagine a line that appears to fit the several points in the scatter plot closely.

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In the graph, two parallel lines appear by using three points each one. $\"graph$

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Let the two points $\"\"$ are lie on the imagine line.

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Substitute the values of $\"\"$ in the slope formula $\"\"$ .

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$\"\"$ . $\"\"$

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To find the y - intercept, substitute the values of $\"\"$ in the slope - intercept from of equation $\"\"$ and solve for b.

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$\"\"$

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Add 1 to each side.

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$\"\"$

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$\"\"$ .

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

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The equation of line is $\"\"$ .

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Because the slopes of parallel lines are negative reciprocals, the slope of parallel line through $\"\"$ is $\"\"$ . $\"\"$

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To find the y - intercept, substitute the values of $\"\"$ in the slope - intercept from of equation $\"\"$ and solve for b.

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$\"\"$

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Add 3 to each side.

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$\"\"$

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$\"\"$ .

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

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The equation of parallel line is $\"\"$ . $\"\"$

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The equation of perpendicular line is $\"\"$ .