Question

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

Answer 1

The correct answer is second option

-1/5

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

Answer 2

- 1/5

Explanation:

Slope of a line passing through two points can be calculated as:

`\text{slope}=\frac{\text{rise}}{\text{run}} \\\\ \text{slope}=\frac{\text{Difference of y coordinates}}{\text{Difference of x coordinates}}`

The given points are (-2, -1) and (8, -3). Using the values in above formula, we get:

`\text{slope}=(-3-(-1))/(8-(-2))\\\\ \text{slope}=(-3+1)/(8+2)\\\\ \text{slope}=(-2)/(10)\\\\ \text{slope}=(-1)/(5)`

Thus the slope of the line through the given points is -1/5. So 2nd option gives the correct answer