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3 years ago

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

Mathematics

2 answers:

brilliants [131]3 years ago

8 0

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

Alex73 [517]3 years ago

5 0

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

$\frac{1}{2}$

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

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GenaCL600 [577]

Answer:

$\frac{(p + 2)m}{p}$

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

$m = k * p$

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

$k = \frac{m}{p}$

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

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Equate both expressions of k; to give

$\frac{m}{p} = \frac{x}{p + 2}$

Multiply both sides by p + 2

$(p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}$

$(p + 2) * \frac{m}{p} =x$

$x = (p + 2) * \frac{m}{p}$

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3 years ago

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Based on your question the
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