Regardless of what you are thinking, it is likely going to be something on an incline. When you study slope in Algebra, you are studying the incline along with other characteristics of a line. In a nutshell, the slope of any line is the change in the y-values versus the change in the x-values. When you begin calculating slope, you may find the process a bit confusing because lines are given in several different forms.
For example, you can calculate the slope from the graph of a line, equation of a line, table of points to the line or when you are given any two points on a line.
Before you dive in to find the slope of a line, you should understand exactly what this term is referring to. Slope is used to determine the steepness of a line and it can be used to show how much something changes over time. A line passes through 4, -2 and 4, 3. What is its slope? A line passes through 2, 10 and 8, 7.
A line passes through 7, 3 and 8, 5. A line passes through 12, 11 and 9, 5. What is the slope of a line that goes through 4, 2 and 4, 5? She was having a bit of trouble applying the slope formula, tried to calculate slope 3 times, and she came up with 3 different answers.
Can you determine the correct answer? In attempt 1, she did not consistently use the points. What she did, in attempt one, was :. The problem with attempt 3 was reversing the rise and run. She put the x values in the numerator top and the y values in the denominator which, of course, is the opposite!
You can practice solving this sort of problem as much as you would like with the slope problem generator below. It will randomly generate numbers and ask for the slope of the line through those two points. You can chose how large the numbers will be by adjusting the difficulty level.
Worksheet on Slope Of A Line. Show me a sample problem. Below there is a topographic map of Math State Park. You are interested in building a path from the top of the hill on this map to the creek Equation Creek and want to know the slope of the hill.
Show me the answers to the three questions above. What is the contour interval of this map? The contour interval tells you "rise", specifically the change in elevation between each of the "brown lines" contours. In this case, the contour interval is in the key in the lower right and is abbreviated CI. The contour interval is 20 ft.
What is the scale of the map? The scale tells you the "run", or the distance on the ground. On this map, it is also shown in the lower right and is shown only graphically. What is the feature for which you want to know the slope? Similarly, north-south slope is the difference between the sums of elevations in the first and third rows note that in each case the middle value is weighted by a factor of two.
The illustration shows how the terrain slope at a given elevation grid cell can be calculated from elevations of the eight grid cells that surround it. First, north-south slope is calculated from the grid columns. Then east-west slope is calculated from the grid rows. The square root of the sum of the north-south slope and east-west slope, multiplied by , equals the percent slope at the original grid cell.
The fancy technical term for the procedure is "neighborhood algorithm. The neighborhood algorithm calculates slope for every cell in an elevation grid by analyzing each 3 x 3 neighborhood.
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