if there is an = sign
For a linear I can see no advantage in the table method.
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.
There are several ways to do that. For example, you can actually graph the function. Or, you can check the ratio of the differences between the points. If this ratio (change in y, divided by change in x) is constant, the function is linear.
In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
table of values,x and y-intercept and slope and y-intercept
A linear or non linear function is a function that either creates a straight line or a crooked line when graphed. These functions are usually represented on a table under the headings x and y.
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).
if there is an = sign
You get the linear equation from a table by: Seeing the difference between the y coordinates and that should give you slope. Then find the point where x = 0 and at that point the y coordinate associated with the x is the y intercept and at the point where y = 0 the x coordinate associated is the x intercept. apply the y intercept and slope to the equation y = mx + c with m being the slope and c being the y intercept
Gradient is the steepness of a slope.
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.
For a linear I can see no advantage in the table method.
X | Y 1 | m1+b 2 | m2+b 3 | m3+b
When the x-intercept is equal to zero, the value of y is the y-intercept. If you don't have zero on the table, use the formula y=mx+b, where m is the slope, and b is the intercept.
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.