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natulia [17]
2 years ago
5

What is the equation of the line through the points (3,2),(8,5),(13,8), and (18,11)

Mathematics
1 answer:
NISA [10]2 years ago
5 0

The equation of the line through the points is y = 3/5 + 1/5.

First, we find the Slope using the formula: m = y2 - y1/x2 - x1

You may choose any two points but I will use these two for no reason at all.)

Points: (3,2) and (8,5)

m = y2 - y1/x2 - x1

m = 5 - 2/8 - 3

m = 3/5

Now that we have the slope, we can now find the Slope-Intercept Form by using the Slope Form Formula. (need at least one point and slope.)

Formula: y - y1 = m(x - x1)

Point: (3,2)

<h3>What is the slope intercept form?</h3>

y - y1 = m(x - x1)

y - 2 = 3/5(x - 3)

y - 2 = 3/5x - 9/5

y - 2 = 3/5x - 9/5

y = 3/5x - 9/5 + 10/5 (2 can be is any fraction that consists of the numerator multiplied twice by the denominator, such as 2/1, 4/2, 8/4, etc.)

y = 3/5 + 1/5

To learn more about the equation of the line visit:

brainly.com/question/18831322

#SPJ1

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A group of 5 students took 15 days to finish a project. After 9 days, 3 students left the group. How many days did it take the s
sladkih [1.3K]

Using proportions, it is found that it took 15 days for the students to finish the project.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, we have that:

  • 100% of the project is done by 5 students in 15 days.
  • After the 3 students left, 2 students will have a time of x days to do 100 - (9/15) = 40% of the project.

The compound <em>rule of three</em> is given as follows:

1 project - 5 students - 15 days

0.4 project - 2 students - x days

Increasing the number of students, the number of days is reduced, hence the measures are inverse proportional and the <em>rule of three</em> is given by:

\frac{15}{x} = \frac{2}[5} \times \frac{1}{0.4}

\frac{15}{x} = \frac{2}{2}

15/x = 1

x = 15 days.

It took 15 days for the students to finish the project.

More can be learned about proportions at brainly.com/question/24372153

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