PA Vocabulary Slope and Y-Intercept

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Coordinate Pair

Back

An ordered pair showing an exact location on a Cartesian Coordinate System (grid). (x,y)

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Negative Slope

Back

The angle of a line that slants downward (from left to right). As the change in y decreases, the change in x increases.

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Positive Slope

Back

The angle of a line that slants upward (from left to right). As the change in y increases, the change in x increases.

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Right Triangles to prove similarity

Back

If right triangles are drawn with their hypotenuses on the same line, then their slopes should be equivalent. rise/run=rise/run

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Rate of Change

Back

The relationship between two quantities that are changing. Also called the slope.

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Rise

Back

The vertical change between two points on a line. (∆y); calculated by finding the difference (y₂ -y₁).

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Run

Back

The horizontal change between two points on a line, (∆x); calculated by finding the difference (x₂-x₁).

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Slope

Back

Rate of change in y (vertical) compared to change in x (horizontal), denoted as m in y = mx + b and k in y=kx.

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Undefined Slope

Back

There is no change in x as the y increases or decreases. A vertical line.

Front

Y-Intercept

Back

Y-coordinate of a point at which the relationship crosses the y-axis meaning the x-coordinate is equal to zero, denoted as b in y = mx + b.