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

###### Question:

1/2

2

1

## Answers

The answer would be 1/2

-2 is your answer. You can even try using all the options you're given to see which one fits.

1/2

Step-by-step explanation:

1/2

Step-by-step explanation:

We can find the slope of the line using two points from the formula

m = (y2-y1)/(x2-x1)

= (4-2)/(5-1)

= 2/4

= 1/2

[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]

[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad(\stackrel{x_2}{5}~,~\stackrel{y_2}{4})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-2}{5-1}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]

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]

the answer should be 0.5

The slope is (y2 - y1) / (x2 - X1) and you will use this formula A TON in math!!!

So,

(4 - 2) / (5 - 1) = 2/4 = 1/2

answer:

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