Question

What is the slope of the line shown below?

Answer 1

Answer:

B

Step-by-step 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 = $\frac{-4-8}{2+1}$ = $\frac{-12}{3}$ = - 4 → B

Answer 2

Answer:

The slope of the given line is -4.

So, option (B) is correct.

Step-by-step explanation:

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

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-4-8}{2-(-1)}$

$\implies\;m = \frac{-12}{3}=-4$

∴The slope of the given line is -4.

Hence, option (B) is correct.