Answer:
We kindly invite you to see the explanation and images attached below.
Step-by-step explanation:
From Geometry we know that every line can be formed by knowing two two distinct points in a plane. Our stategy consist in using two distinct points for each linear equation in order to create our plot.
1) [tex]y = 2\cdot x + 2[/tex], [tex]A(x,y) = (0, 2)[/tex] and [tex]B(x,y) = (1,4)[/tex].
The line [tex]2\cdot y = 4\cdot x + 4[/tex] is a multiple of [tex]y = 2\cdot x + 2[/tex]. We present the graph below.
2) [tex]y = x-5[/tex], [tex]A(x,y) = (0,-5)[/tex] and [tex]B(x,y) =(1,-4)[/tex].
[tex]y = -x+3[/tex], [tex]C(x,y) = (0, 3)[/tex] and [tex]D(x,y) = (1,2)[/tex].
Finally, we proceed to plot each line and present the results below.
3) [tex]y = 2\cdot x-3[/tex], [tex]A(x,y) = (0,-3)[/tex] and [tex]B(x,y) = (1, -1)[/tex].
[tex]y = 2\cdot x + 4[/tex], [tex]C(x,y) = (0,4)[/tex] and [tex]D(x,y) = (1,6)[/tex].
Finally, we proceed to plot each line and present the results below.
