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

Answer:
[tex]\frac{1}{2}[/tex] , or the first option
Step-by-step explanation:
The formula to find the slope of a line is [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]. 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)
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] Plug in your numbers
[tex]\frac{4 - 2}{5 - 1}[/tex] Simplify
[tex]\frac{2}{4}[/tex] Simplify
[tex]\frac{1}{2}[/tex]
Answer:
slope = [tex]\frac{1}{2}[/tex]
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 = [tex]\frac{4-2}{5-1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]