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cupoosta [38]
2 years ago
10

Write an equation of the line that passes through the points (1, 2) and (4, 8)

Mathematics
2 answers:
cestrela7 [59]2 years ago
8 0

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 8)

m = \frac{8-2}{4-1} = \frac{6}{3} = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2 )

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation of line

faust18 [17]2 years ago
6 0

Answer:

2x-y=0 / y=2x

Step-by-step explanation:

6x-3y=0, 2x-y=0

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I really need help >_< please and thank you
SashulF [63]
So for each of the graphs, you basically just have to fill out slope form, which is y=my+b. And to make this equation, you need to find each variable.

First, find the slope. To calculate slope, count the rise (how many units up or down) the line goes from any point to the next immediate point, then the run (how many units left or right.) This should leave you with a fraction, rise/run. For example, on number 3, from labeled points (-5, -4) to (5,2) (double check cause it’s hard to see on my phone, but i think those are the points on 1??) it rises 6 units (-4 to 2) and runs 10 units (-5 to 5). This gives you your rise/run fraction, which is 6/10, simplified to 3/5.

So the slope fills out the m part of the equation. For 3, we found that slope is 3/5, and that fits into the m variable of the slope equation.

This makes it y=3/5x+b.

The last (and considerably less confusing) step is to find b. b is the y-intercept, which is just the point in the graph where the line crosses the y-axis and x=0. On 3, this would be (0,-1) or just -1.

So fill -1 into the b slot of the equation, and you get y=3/5x-1. And thats it!!

Let me know if you still need help on any of the other problems, but I hoped this helped to clear it up!! :)


8 0
3 years ago
What slope is perpendicular to: m = 58
Lilit [14]

Answer:

1/ -58

Step-by-step explanation:

Perpendicular lines are the negative reciprocal.

5 0
2 years ago
Solve <img src="https://tex.z-dn.net/?f=%5Cfrac%7B6x%2B7%7D%7B5%7D%20%3D2x-4" id="TexFormula1" title="\frac{6x+7}{5} =2x-4" alt=
Helen [10]
Answer: x=27/4 hope it helps
4 0
2 years ago
Read 2 more answers
The area of a sector of a circle with a central angle of radians is . Find the radius of the circle. Do not round any intermedia
Savatey [412]

Answer:

<h3>3.5ft</h3>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the complete question in the diagram attached.

Area of a sector = θ/360 * πr² where;

r is the radius

θ is the angle substended by the sector

Given parameters

Area of the sector = 9ft²

central angle θ = 1.5 radians

Since  1 radians = 57.2958°

1.5 radians = (1.5 * 57.2958)

1.5 rad = 85.9437°

Substituting the given values into the formula;

Area of a sector = θ/360 * πr²

9 = 85.9437/360 * (3.14)r²

9 = 0.2387325 * 3.14r²

9 = 0.74962005r²

r² = 9/0.74962005

r² = 12.00608

r = √12.00608

r = 3.4641

r = 3.5 ft (to the nearest tenth)

Hence the radius of the circle is 3.5ft

8 0
3 years ago
Is 180 divisilbe by 9
Darina [25.2K]
9 is divisible by 9, Therefore, 180 is divisible by 9 and the answer to the question, "Is 180 Divisible By 9?" is Yes.
7 0
3 years ago
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