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It was the French mathematician Rene Descartes who created coordinated geometry using an horizontal x axis and a vertical y axis that are perpendicular to each other

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When the coordinates of two points (xy) and (-xy) what line of symmetry do the points share?

The line is x=0 otherwise known as the y-axis.


When the point xy is translated a unit to the leftthe coordinates of the new points can be determined by?

(x-1, y)


If a translation of (xy) (x plus 6y-10) is applied to figure ABCDwhat are the coordinates of D?

To determine the coordinates of point D after the translation represented by the expression (xy)(x + 6y - 10), we first need the original coordinates of point D. Assuming D has initial coordinates (x, y), the translation modifies these coordinates according to the specified expression. If we apply the translation directly, the new coordinates of D can be calculated by substituting the values of x and y into the expression. However, without the specific coordinates of D and the precise nature of the translation, we cannot provide the exact new coordinates.


What is the change in the x-coordinates of any two points on a line in the xy-plane is called?

The change in the x-coordinates of any two points on a line in the xy-plane is called the "run." In the context of calculating the slope of the line, the run is used along with the change in the y-coordinates (called the "rise") to determine the steepness and direction of the line. The slope is calculated as the ratio of the rise to the run.


What change in the x-coordinates of any two along a line in the xy-plane is the?

The change in the x-coordinates of any two points along a line in the xy-plane is referred to as the "horizontal distance" between those points. This change can be represented as Δx = x2 - x1, where x1 and x2 are the x-coordinates of the two points. This difference is crucial for determining the slope of the line, which is calculated as the change in the y-coordinates (Δy) divided by the change in the x-coordinates (Δx). A constant Δx along a line indicates a linear relationship between the x and y coordinates.