Question

What is the slope of the line passing through the points (1, 2) and (5, 4)?

Answer 1

Answer:

slope = $\frac{1}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (5, 4)

m = $\frac{4-2}{5-1}$ = $\frac{2}{4}$ = $\frac{1}{2}$

Answer 2

Answer:

$\frac{1}{2}$ , or the first option

Step-by-step explanation:

The formula to find the slope of a line is $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$. It doesn't matter which set of coordinates is (x₁,y₁), as long as you make sure you put them in the right places.

(x₁,y₁) = (1,2)

(x₂,y₂) = (5,4)

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$   Plug in your numbers

$\frac{4 - 2}{5 - 1}$   Simplify

$\frac{2}{4}$   Simplify

$\frac{1}{2}$