What is the slope of the line through the points (-2,-1) and (8,-3)?

Answer:
- 1/5
Step-by-step explanation:
Slope of a line passing through two points can be calculated as:
[tex]\text{slope}=\frac{\text{rise}}{\text{run}} \\\\ \text{slope}=\frac{\text{Difference of y coordinates}}{\text{Difference of x coordinates}}[/tex]
The given points are (-2, -1) and (8, -3). Using the values in above formula, we get:
[tex]\text{slope}=\frac{-3-(-1)}{8-(-2)}\\\\ \text{slope}=\frac{-3+1}{8+2}\\\\ \text{slope}=\frac{-2}{10}\\\\ \text{slope}=\frac{-1}{5}[/tex]
Thus the slope of the line through the given points is -1/5. So 2nd option gives the correct answer
Answer:
The correct answer is second option
-1/5
Step-by-step explanation:
Points to remember
The slope of line passing through (x₁, y₁) and (x₂, y₂) is given by,
Slope = (y₂ - y₁)/(x₂ - x₁)
To find the slope of given line
Here, (x₁, y₁) = (-2, -1) and (x₂, y₂) = (8, -3)
Slope = (y₂ - y₁)/(x₂ - x₁) = ( -3 - - 1)/(8 - -2)
= (-3 + 1)/(8 + 2) = -2/10
= -1/5
Therefore the correct answer is second option -1/5