Question

What is the slope of the line shown below?

Answer 1

B

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 8) and (x₂, y₂ ) = (2, - 4) ← 2 points on the line

m =
`(-4-8)/(2+1)` =
`(-12)/(3)` = - 4 → B

Answer 2

The slope of the given line is -4.

So, option (B) is correct.

Explanation:

We know that, slope (m) of a line passing through points (x₁, y₁) and (x₂, y₂) is given by,

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

Now, the given line passes through the point (-1, 8) and (2,-4).

So, (x₁, y₁) = (-1, 8) and (x₂, y₂) = (2, -4)

So, by using the above formula, we get

Slope(m) of the given line passing through (-1, 8) and (2, -4) is given by,

`m=(y_(2)-y_(1))/(x_(2)-x_(1)) = (-4-8)/(2-(-1))`

`\implies\;m = (-12)/(3)=-4`

∴The slope of the given line is -4.

Hence, option (B) is correct.