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What is a Topographic Map?
represent lines of equal elevation above (or below) a reference datum. To visualize what a contour line represents, picture a mountain (or any other topographic feature) and imagine slicing through it with a perfectly flat, horizontal piece of glass. The intersection of the moun...
Mapping Potato Island
If you were taking a hike along a hillside and not walking either uphill or downhill, you would be walking on a contour line. When contour lines are close together, the slope is very steep. When contour lines are far apart, the slope is very shallow. This type of map is h...
Line Segment definition (Coordinate Geometry)
in ordinary plane geometry, the only difference being that we know the coordinates of the points involved. The naming conventions are also the same. Things to try In the above diagram, press 'Reset'. The line segment AB starts at point A at (52,7) and ends at point B at (53,20). Drag A, B...
Line definition (Coordinate Geometry)
the definition of a line in ordinary plane geometry, the only difference being that we know the coordinates of the points involved. The naming conventions are also the same. Things to try In the above diagram, press 'Reset'. The line AB passes through point A at (52,7), point B at...
Vertical line definition. (Coordinate Geometry)
for a vertical line the slope is undefined. As you drag the points above, notice that the slope indicator goes away when the line is exactly vertical. The equation of a vertical line is x = a Where: x is the coordinate of any point on the line ais where the ...
Horizontal line definition. (Coordinate Geometry)
Examples Fig 1. Is the line horizontal? Determine if the line shown in Fig 1 is horizontal and write it's equation. The two points A,B on the line are at (7,7) and (39,7). The second coordinate in each pair is the y-coordinate which are 7, and 7. Since they are equal, the ...
Parallel lines. (Coordinate Geometry)
are equal. The slope can be found using any method that is convenient to you: From two given points on the line. (See Slope of a line). From the equation of the line in slope-intercept form From the equation of the line in point-slope form And of course, you can use d...
Intercept (b) of a line (Coordinate Geometry)
off the top or bottom of the chart. Formula for the intercept of a line Below are two ways to find the intercept. Use either one depending on what you are given to start. Given the slope of the line and any point on the line The intercept (b) is given by where: m i...
Ray definition (Coordinate Geometry)
and goes off in a particular direction to infinity, possibly through a second point. Try this Adjust the ray below by dragging an orange dot and see how the ray AB behaves. You can also drag the origin point at (0,0). A ray is a line that starts at a given point and goes off for ev...
Perpendicular lines. (Coordinate Geometry)
one is the negative reciprocal of the other. If the slope of one line is m, the slope of the other is Try this Drag points C or D. Note the slopes when the lines are at right angles to each other. When two lines are perpendicular to each other (at right angles or 90°), their slopes ha...
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