Answer:
Table 1
Step-by-step explanation:
The slope of a line (m) passing through two points A(x₁, y₁) and B(x₂, y₂) is given by:
m = (y₂ - y₁) / (x₂ - x₁)
a) From table 1, we can select two points. Let us select point (-3, 2) and point (1, 2). Hence the slope is:
[tex]m=\frac{2-2}{1-(-3)}=0[/tex]
b) From table 2, we can select two points. Let us select point (-3, 3) and point (1, -1). Hence the slope is:
[tex]m=\frac{-1-3}{1-(-3)}=-1[/tex]
c) The graph passes through point (0, 0) and (3,3). Hence:
[tex]m=\frac{3-0}{3-0}=1[/tex]
d) The graph passes through point (-2, 4) and (-2,0). Hence:
[tex]m=\frac{0-4}{-2-(-2)}=\infty[/tex]
