Question

State whether the line through points has a slope of zero or undefined. Also state whether it is horizontal or verticalline

Answer 1

Missing part of question

(a) (-3, 4) and (5, 4)

(b) (4, 5) and (4, -3).

Answer:

(a) (-3, 4) and (5, 4)

Zero slope

Horizontal line

(b) (4, 5) and (4, -3).

Undefined slope

Vertical line

Explanation:

Solving (a): (-3, 4) and (5, 4)

Slope (m) is calculated as:

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

This gives

`m = (4-4)/(5 - -3)`

`m = (0)/(8)`

`m = 0`

This line has a slope of zero.

When slope equals 0, then the line is horizontal

Solving (b): (4, 5) and (4, -3)

Slope (m) is calculated as:

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

This gives

`m = (5--3)/(4-4)`

`m = (8)/(0)`

m = undefined

This line has an undefined slope.

When the slope of a line is undefined, then the line is vertical