Question

Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5). Mark this and return Save and Exit

Answer 1

Table 1

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:

`m=(2-2)/(1-(-3))=0`

b) From table 2, we can select two points. Let us select point (-3, 3) and point (1, -1). Hence the slope is:

`m=(-1-3)/(1-(-3))=-1`

c) The graph passes through point (0, 0) and (3,3). Hence:

`m=(3-0)/(3-0)=1`

d) The graph passes through point (-2, 4) and (-2,0). Hence:

`m=(0-4)/(-2-(-2))=\infty`