Question

Need help finding 2 more points on the line for question # 13(7,2) and (7,4)Slope= 24-2/7-7 = 2/0

Answer 1

Step-by-step explanation

Algebra / Graphs and Functions / Graphing Slope / Slope of a Line Using Two Points

In this problem, we have a set of the coordinates of two pairs of points, and we must compute the slope for each one of the sets.

For the line that passes through points (x₁, y₁) and (x₂, y₂), the slope is:

`m=(y_2-y_1)/(x_2-x_1).`

(11) (x₁, y₁) = (5, -2) and (x₂, y₂) = (6, -5)

Replacing the coordinates of these points in the formula above, we get:

`m=(-5-(-2))/(6-5)=(-5+2)/(1)=-3.`

(12) (x₁, y₁) = (3, 8) and (x₂, y₂) = (-4, 8)

Replacing the coordinates of these points in the formula above, we get:

`m=(8-8)/(-4-3)=(0)/(-7)=0.`

A slope equal to zero represents an horizontal line.

(13) (x₁, y₁) = (7, 2) and (x₂, y₂) = (7, 4)

Replacing the coordinates of these points in the formula above, we get:

`m=(4-2)/(7-7)=(2)/(0)=\infty.`

A slope equal to infinity represents a vertical line.

Answer

11. m = -3

12. m = 0 (horizontal line)

13. m = ∞ (vertical line)