Here are the essential concepts you must grasp in order to answer the question correctly.
Slope of a Line
The slope of a line measures its steepness and direction, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. It is often represented by the letter 'm' in the slope-intercept form of a linear equation, y = mx + b. A positive slope indicates the line rises from left to right, while a negative slope indicates it falls.
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Coordinates of Points
Coordinates are pairs of numbers that define the position of points on a Cartesian plane. Each point is represented as (x, y), where 'x' is the horizontal position and 'y' is the vertical position. In the given question, the points (0, -7) and (3, -7) indicate that both points lie on the same horizontal line, which is crucial for determining the slope.
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Graphs and Coordinates - Example
Horizontal Lines
A horizontal line is a straight line that runs left to right across the graph and has a constant y-value for all x-values. The slope of a horizontal line is always zero because there is no vertical change as you move along the line. In this case, since both points have the same y-coordinate (-7), the line connecting them is horizontal, resulting in a slope of 0.
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