Find the slope of the line passing through the points (-9, 3) and (-9, -2).

Undefined slope

Step-by-step explanation:

To calculate the slope between two points, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The formula for the slope m between points (x₁, y₁) and (x₂, y₂) is: , which is also known as "rise over run".

Here, we have the points (-9, 3) and (-9, 2).

x₁ = -9,  y₁ = 3,  x₂ = -9,  y₂ = -2. We can plug these values in to the "rise over run" equation:

This is a vertical line.

The slope of a line cannot be undefined (a vertical line), because the x-coordinate never changes no matter what the y-coordinate is. Thus, the slope is undefined for the line passing between these two points.

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.