What is the slope of the line that passes through the points left bracket, minus, 8, comma, minus, 6, right bracket(−8,−6) and left bracket, minus, 8, comma, 4, right bracket(−8,4)? Write your answer in simplest form.
To find the slope of a line passing through two points, you can use the slope formula, which is given by:
m = (y₂ - y₁) / (x₂ - x₁)
Here, (x₁, y₁) represents the coordinates of the first point and (x₂, y₂) represents the coordinates of the second point.
In this case, we have the points (-8, -6) and (-8, 4).
Substituting these values into the slope formula:
m = (4 - (-6)) / (-8 - (-8))
= (4 + 6) / (-8 + 8)
= 10 / 0
The denominator of the slope formula is 0, which means that the line is a vertical line. A vertical line does not have a defined slope.
Therefore, the slope of the line passing through the points (-8, -6) and (-8, 4) is undefined.