Slope m = change in y divided by change in x.
Pick two coordinates from the table. (x1, y1) and (x2, y2).
(y2-y1)/(x2-x1) = slope of the line.
Note that the 1 and 2 are not numbers in the equation but represent the x and y values from coordinates 1 and 2.
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Range is the Y points in a table (i.e. (2,6)(3.7)(4,4) in this set the range would be 6 7 and 4.
A linear equation or first-degree equation is an equation such as 3x - y = 1 in which no variable has no exponent other than 1. To solve this equation we first write the equation in slope-intercept form as y = 3x - 1 (this is the same thing as we write: f(x) = 3x - 1, because f(x) = y). Then prepare a table of values that includes three points whose coordinates satisfy the equation of the line: We give the values for x, substitute the x-values into the equation of the line to obtain the corresponding y-values. For example, for x = -1; y = 3(-1) - 1 = -4 Solution is (-1, -4), the first point for x = 0 ; y = 3(0) - 1 = -1 Solution is (0, -1), the second point for x = 1 ; y = 3(1) - 1 = 2 Solution is (1, 2), the third point Plot the three solution points in the coordinate plane, then connect these points with a straight line. If it is not possible to draw a line that contains all three points, then you made a mistake either in calculating the coordinates of at least one of the points or in plotting them
y = sin x, or y = cos x etc. can be graphed by making a table of values. The x column in the table would be angle measurements (usually in degrees or radians) and the y column would be the trig. function value. Then plot the points and sketch the curve going thru those points. Ex: for y = sin x x , y 0 0 30 0.5 45 0.707 etc and then graph these
If the figures in the table are exact and without measurement error then take any two of the points (x1, y1) and (x2, y2) and use these to form the linear relation y - y1 = ((y2 - y1)/(x2 - x1))(x - x1) If, however, you suspect that the values in the table do not exactly follow a linear relationship then use linear regression for which formulae are provided in wikipedia.
The table should give you a set of points. Take two coordinated pairs off the table and use the formula y2 - y1 divided by x2 - x1 (rise over run) to get your slope. Then take the slope and one of your points and plug it into y = mx +b with m being the slope, and b as the y-intercept.
Choose two distinct points from the table and designate their coordinates as x1, y1 and x2, y2. The slope of the line then will equal (y2 - y1)/(x2 - x1).
Pick any two points in the table. The slope of the line is(change in the y-value from one point to the other)/(change in the x-value from the same point to the other)
to find the slope of the line passing through the points (x1,y1) and (x2,y2) you must do: (y2-y1) / (x2-x1) for the points (3,5) and (4,6): (6-5) / (4-3). you only need two points.
Gradient is the steepness of a slope.
Gradient is the steepness of a slope.
Slope is rise over run, so if you have a rise of 2 and a run of 4, then the slope is 0.5. If the table gives rises and runs, then just follow the two until they meet, that should be the slope.
"Constant rate of change" can also be referred to as "slope". To find the slope of a graph, or a series of points, you take the coordinates of any two parts a line and fit them into this equation: . For example, say you have a line that intersects the points (2,1) and (6,3). To find the slope, you decide which of the two points will be (x1, y1) and which one will be (x2,y2). Changing up the order doesn't affect the answer you get, so it's usually easier to just make the first point given your first point. In this problem, after plugging in the numbers, you get , which equals 1/2. Therefore, your slope equals 1/2. Slope can also be expressed as "m" (m = 0.5). To do this with a table is exactly the same. Just pick any two points and plug them in.
Select two distinct values of X, designated X1 and X2, from the table, read the corresponding values Y1 and Y2 from the table, and calculate the slope from the formula: slope = (Y2 - Y1)/(X2 - X1)
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Assume that the table shows a set of values for two variables that are linearly related. If these assumptions are false, you cannot do answer the question.Suppose the first set of values is for a variable, x, and the second set is for y.Select any two [ordered] pairs data: (x1, y1) and (x2, y2). Then the slope between these two points is (y2 - y1)/(x2 - x1) provided x2 ≠ x1. If x2 = x1 then the slope is undefined.
Hydraulic gradient