Linear equations in Math can also be framed using a coordinate table. This table basically contains values of x - coordinates and y – coordinates. According to given information coordinates that best suit are chosen to get linear equation. For this we must have knowledge about how to evaluate the Slope and y - intercept from given information. Once the linear equation has been found values that are based on information we have can also be evaluated. For instance, a linear equation can be used to find out financial growth of any organization based on previous year data. So, how to make an equation from a table?
Suppose you have the following table:
<be clear="all'/> <cke:encoded>%3Cmeta%20content%3D%22text%2Fhtml%3B%20charset%3Dutf-8%22%20http-equiv%3D%22content-type%22%20%2F%3E</cke:encoded> <table border=" 1"="" cellpadding="0" cellspacing="0" style="margin-top: 0.5em; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-collapse: collapse; ">
X – coordinates
Y – coordinates
Choose any two pairs of coordinates from above table. For example, we select (7, 8) and (9, 4).
Our 1st step would be subtracting y - coordinates of respective pairs. In our example, we will subtract 8 from 4: 4 – 8 = - 4.
Similarly, we subtract x – coordinates of respective pairs. In our example, we would subtract 7 from 9: 9 – 7 = 2.
Next divide y – coordinates difference by difference of x – coordinates. This evaluates the slope of linear equation. In our example we would divide -4 by 2 to -2 as our slope.
Next find the product of any one x- coordinate and slope that we found in previous step. Then subtract this result from corresponding y- coordinate to get y – intercept of equation. In our example we would multiply -2 by 7 to get -14 and then we subtract -14 from 8 to get 22 as our y-intercept.
Substitute known values in the equation: y = mx + c to get y = -2x + 22.