Question

How do you find the slope for (0,-7) (0,-12)?

Answer 1

Slope is Undefined

Explanation:

Recall;

`y = mx +c`

Where;

`m = "slope"`

Also;

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

Points given: `(0_(x_1), -7_(y_1)), (0_(x_2), -12_(y_2))`

Where;

`y_2 = -12`

`y_1 = -7`

`x_2 = 0`

`x_1 = 0`

Therefore;

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

`m = (-12 - (-7))/(0 - 0)`

`m = (-12 + 7)/0`

`m = -5/0`

Since the slope can not be zero, it means that the slope is Undefined

Answer 2

`"slope is undefined"`

Explanation:

`"calculate the slope m using the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_2)/(x_2-x_1)`

`"let "(x_1,y_1)=(0,-7)" and "(x_2,y_2)=(0,-12)`

`m=(-12-(-7))/(0-0)=19/0`

`"division by zero is undefined hence slope is undefined"`