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When two coordinate points are translated to the left how can the new ones be determined?
The first abscissa will decrease by the amount of leftward translation; the ordinate will not change.
Define and explain the term graph?
A diagram that exhibits a relationship, often functional, between two sets of numbers as a set of points having coordinates determined by the relationship.
What is slope and how is it determined from a graph?
Slope refers to the steepness of a line. Mathematically, it can be defined as: slope = (difference in y-coordinates) / (difference in x-coordinates). This should be measured along a fairly short distance, since the actual slope can be different at different points.
How can you tell that the line segment connnecting the points is vertical without graphing the points?
The equation does not have and y variable in it: it is of the form x = c. Alternatively, the x coordinates of both points are the same and the y coordinates are not.
How is plotting of points done?
By giving their coordinates.
How does dilation effect the coordinates of dilated points?
Well this is my thought depending on where the point of dilation is the coordinates of the give plane is determined. The point of dilation not only is main factor that positions the coordinates, but the scale factor has a huge impact on the placement of the coordinates.
What is The slope of a line is determined by using?
The slope of a line is determined using the coordinates of at least 2 points on the line. If you have 2 points (A, B) and (C, D), the slope of the line can be determined using the formula (B - D) / (A - C) or (D - B) / (C - A) which is essentially the difference of the y-coordinates divided by the difference of the x - coordinates. Alternately, you could think of it as "rise over run", the increase in height (change in y) between the two points over the horizontal distance traveled (change in x).
What are the coordinates of the midpoint of GH with end points?
-- The 'x' coordinate of the midpoint is the average of the 'x'-coordinates of the end-points. -- The 'y' coordinate of the midpoint is the average of the 'y'-coordinates of the end-points.
When two coordinate points are translated to the left how can the new ones be determined?
The first abscissa will decrease by the amount of leftward translation; the ordinate will not change.
Define and explain the term graph?
A diagram that exhibits a relationship, often functional, between two sets of numbers as a set of points having coordinates determined by the relationship.
What is slope and how is it determined from a graph?
Slope refers to the steepness of a line. Mathematically, it can be defined as: slope = (difference in y-coordinates) / (difference in x-coordinates). This should be measured along a fairly short distance, since the actual slope can be different at different points.
Describe the coordinates of all points in all the quadrants?
The coordinates of all points in the coordinate plane consist of ordered pairs of numbers.
How can you tell that the line segment connnecting the points is vertical without graphing the points?
The equation does not have and y variable in it: it is of the form x = c. Alternatively, the x coordinates of both points are the same and the y coordinates are not.
Points where lines meet?
Intersection or coordinates
How is plotting of points done?
By giving their coordinates.
How to translate the coordinates of a point?
Here's an example: In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ? Any translation sends a point to a point . For the point in the problem, we have the following. So we have . Solving for and , we get and . So the translation is unit to the right and units up. See Figure 1. We can now find and . They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.
Do points have length but no height in geometry?
On the Cartesian plane points have coordinates of length and height
