Question

What is the slope of the line through (0, 5) and (-2, -1)

Answer 1

Answer:

3

Step-by-step explanation:

To find the slope of a line going through two points, (x₁, y₁) and (x₂, y₂), we can use the following formula: $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$. Note that it doesn't really matter which points we call (x₁, y₁) or (x₂, y₂).

Let's call (x₂, y₂) = (0, 5) and (x₁, y₁) = (-2, -1). Now, we can plug in the values for x, y₁, x₂, and y₂ into the formula.

We have:

$\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{5-(-1)}{0-(-2)} =\frac{5+1}{0+2} =\frac{6}{2} =3$

Therefore, the slope of the line is 3. Hope this helps!