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{ = }(1-3)/(5-(-5))\text{ = }(-2)/(10)\text{ = - }(1)/(5)`

A is true

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

Cordinates of d:

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

`s\text{ = }((-4)-(-1))/(5-(-5))\text{ = }(-3)/(10)`

B is false

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

Cordinates of a:

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

`s=\text{ }(5-(-5))/((-1)-(-5))=(10)/(4)=(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{ = }(10)/(4)\text{ = }(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{ = }(5-(-5))/(4-0)=\text{ }(10)/(4)=(5)/(2)`

The slope de (e):

Cordinates of e:

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

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