How is a system of equations created when each linear function is given as a set of two ordered pairs? Explain. (Never mind)

A system of equations is a set of definite number of linearly independent equations in which they intersect at one or more points to find the values of the unknown variables depending on the number of participating equations. It is created by the standard form (y-h) = m (x-k) where (h,k) is given and that m or slope varies.

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ahirohit963 ahirohit963 · Answer 2 · 2021-11-05T11:47:29+01:00

A system of equations created by using the point slope form of the line when each linear function is given as a set of two ordered pairs.

Given :

Linear function is given as a set of two ordered pairs.

To determine the linear function or linear equation the following steps can be use:

Step 1 - Let the given order pairs be [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

Step 2 - Now, let m be the slope of the linear equation than m is given by:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 3 - Now, let the linear equation be: [tex](y- a)=m(x-b)[/tex] where, (a,b) are any point on the line and m is the slope of that line.

Step 4 - Put the value of a, b, and m in the above equation.

[tex](y-y_1) = \left[\dfrac{y_2-y_1}{x_2-x_1}\right](x-x_1)[/tex]

The equation [tex](y-y_1) = \left[\dfrac{y_2-y_1}{x_2-x_1}\right](x-x_1)[/tex] is the required linear equation.

For more information, refer the link given below:

https://brainly.com/question/18666670