Create+a+table+of+values+from+given+points+or+the+equation+of+a+line

=​Creating a Table of Values from Given Points=

(0, 4), (1, 6), (2, 8), (3, 10).
==== First, identify the //x//-coordinates and the //y//-coordinates. The //x//-coordinate is always the first number in the ordered pair, and the //y//-coordinate is always the second. Next, make a table like the one below. Plot the //x//-coordinates below the x and the //y//-coordinates below the //y.// ====


 * **// x //** || **// y //** ||
 * 0 || 4 ||
 * 1 || 6 ||
 * 2 || 8 ||
 * 3 || 10 ||

=Creating a table with an equation of a line=


 * The equation of the line is:**

//y//=2//x//+1

 * Make a table of values for the domain {2, 1, 0, -1, -2}.**

First, use the equation to solve for the y- coordinates.

 * **2//x//+1** ||
 * **2(** **2** **)+1** ||
 * **2(** **1** **)+1** ||
 * **2(** **0** **)+1** ||
 * **2(** **-1** **)+1** ||
 * **2(** **-2** **)+1** ||

Next, complete the table of values.
The set of ordered pairs is (2, 5), (1, 3), (0, 1), (-1, -1), (-2, -3).
 * **//x//** || **//y//** ||
 * **2** || **5** ||
 * **1** || **3** ||
 * **0** || **1** ||
 * **–1** || **–1** ||
 * **–2** || **–3** ||

= A few questions for practice: =


 * 1.** For the equation //y// = 4//x// + 2:
 * a)** Describe the relation in words.
 * b)** Complete a table of values for the domain { 2, 1, 0, -1, -2 }.
 * c)** Write the relation as a set of ordered pairs.
 * d)** What is the range?


 * 2.**
 * a)** Write a set of ordered pairs of the form (//l,d)// for the relation, where //l// is the number of letters in the name of the month and //d// i sthe number of days in the month in a leap year.
 * b)** Write the domain and range for the relation.
 * c)** Can this relation be described by an equation? Explain.