Question

28. Which statement is true? Select all that apply. A The slope of (f) is - 1/5B The slope of (d) is - 1/5C The slope of (a) is 5/2D The slope of (b) is -5/2

Answer 1

The first thing is to calculate the slopes of the mentioned lines:

The slope has te following formula:

$s\text{ = }\frac{y_2\text{ }-y_1}{x_2-x_1}$

A. The slope of (f) is - 1/5

Cordinates of f:

(-5, 3) and (5, 1)

$s\text{ = }\frac{1-3}{5-(-5)}\text{ = }\frac{-2}{10}\text{ = - }\frac{1}{5}$

A is true

B. The slope of (d) is - 1/5

Cordinates of d:

(-5, -1) and (5, -4)

$s\text{ = }\frac{(-4)-(-1)}{5-(-5)}\text{ = }\frac{-3}{10}$

B is false

C. The slope of (a) is 5/2

Cordinates of a:

(-5, -5) and (-1, 5)

$s=\text{ }\frac{5-(-5)}{(-1)-(-5)}=\frac{10}{4}=\frac{5}{2}$

C is true

D. The slope of (b) is - 5/2

Cordinates of b:

(-3.5, -5) and (0.5, 5)

$s\text{ = }\frac{5\text{ - (-5)}}{0.5\text{ - (-3.5)}}\text{ = }\frac{10}{4}\text{ = }\frac{5}{2}$

D is false

thefore only A and C are true

The slope de (c):

Cordinates of c:

(0, -5) and (4, 5)

$s\text{ = }\frac{5-(-5)}{4-0}=\text{ }\frac{10}{4}=\frac{5}{2}$

The slope de (e):

Cordinates of e:

(-5, 0) and (5, -2)

$\text{ s = }\frac{(-2)-0}{5\text{ - (-5) }}\text{ = }\frac{-2}{10}=-\frac{1}{5}$