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telo118 [61]
2 years ago
5

The points (0 1) and (1 4) are contained in the graph of an equation with only two variables x and y

Mathematics
1 answer:
Blababa [14]2 years ago
7 0

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

<h3>How to determine the equation of the points?</h3>

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

Read more about linear equations at:

brainly.com/question/1884491

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<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students  and 5 teachers

B)266 students  and 14 teachers

C)418 students  and 22 teachers

D)722 students  and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{100}{20}

scale factor  = 5

The number students is 19 \times 5 = 95

The number of teachers is 1 \times 5 = 5

<em><u>b. 280 people </u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{280}{20}

scale factor  = 14

The number students is 19 \times 14 = 266

The number of teachers is 1 \times 14 =  14

<em><u>c.440 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{440}{20}

scale factor  = 22

The number students is 19 \times 22 = 418

The number of teachers is 1 \times 22 =  22

<em><u>d.760 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{760}{20}

scale factor  = 38

The number students is 19 \times 38 = 722

The number of teachers is 1 \times 38 =  38

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