Use the point on the line and the slope of the line to find three additional points through whic

step 1 Okay, so we want to find three additional points given our points and our slope. So here we have

Use the point on the line and the slope of the line to find...

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Key Concepts

Point-Slope Form

The point-slope form of a line’s equation is a method to write the equation of a line when you know its slope and one point on the line. It is typically expressed as y - y? = m(x - x?), where m represents the slope and (x?, y?) is the given point.

Finding Additional Points on a Line

Once the equation of a line is known, additional points on the line can be obtained by selecting arbitrary x-values and calculating their corresponding y-values. This process utilizes the line’s equation, including its slope and the point used in the point-slope form, to generate valid coordinates that lie on the line.

Slope

The slope of a line describes how much the y-coordinate changes for a unit change in the x-coordinate. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line, serving as a measure of the line's steepness and direction.

Horizontal Lines

A horizontal line has a slope of zero, which means that there is no change in the y-coordinate regardless of changes in the x-coordinate. This results in a constant y-value for every point on the line, making the line parallel to the x-axis.

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