Question

6. Complete the table of values and graph the ordered pairs to find solutions of the

equation 4x − 6 =y

Answer 1

The complete table and the graph of the line are shown in the explanation of this question.

How to complete a table of a function and graph a line

In this problem we must complete the table of values associated with line function y = 4 · x - 6. According to analytic geometry, we can graph a line by knowing two distinct points on Cartesian plane.

First, define arbitrary x-values of points:

X = {0, 1, 2, 3, 4, 5}

Second, find y-values by line equations:

x = 0:

y = 4 · 0 - 6

y = - 6

x = 1:

y = 4 · 1 - 6

y = - 2

x = 2:

y = 4 · 2 - 6

y = 2

x = 3:

y = 4 · 3 - 6

y = 6

x = 4:

y = 4 · 4 - 6

y = 10

Third, define the given points:

(X, Y) = {(0, - 6), (1, - 2), (2, 2), (3, 6), (4, 10)}

Fourth, present the complete table: (Please see the image attached below)

Fifth, plot the line on Cartesian plane.