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

Step-by-step explanation:

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

Slope (m) is calculated as:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

This gives

$m = \frac{4-4}{5 - -3}$

$m = \frac{0}{8}$

$m = 0$

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:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

This gives

$m = \frac{5--3}{4-4}$

$m = \frac{8}{0}$

m = undefined

This line has an undefined slope.

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