Answer:
(See explanation below for further details).
Step-by-step explanation:
The procedure for plotting each line consists in creating a table with at least two different points, given that Euclidean Geometry states that any line can be created with only two points, and plotting the lines with the help of graphing tools:
(a) [tex]y = \frac{2}{3}\cdot x - 5[/tex]
(i) Table of values
x y
-2 -6.333
-1 -5.667
0 -5
1 -4.333
2 -3.667
(ii) Plotting the line
The line is presented below in the attachment "line_1".
(b) [tex]6\cdot x - 2\cdot y + 5 = 0[/tex]
[tex]2\cdot y = 6\cdot x +5[/tex]
[tex]y = 3\cdot x +\frac{5}{2}[/tex]
(i) Table of values
x y
-2 -3.5
-1 -0.5
0 2.5
1 5.5
2 8.5
(ii) Plotting the line
The line is presented below in the attachment "line_2".
