1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mekhanik [1.2K]
3 years ago
15

Write the equation of the line that passes through the points

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

Answer:

y+5=2(x-3) or y+9=2(x-1)

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

m=\frac{-9+5}{1-3}

m=\frac{-4}{-2}

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

Analyze two cases

<em>First case</em>

we have

m=2

point\ (3,-5)

substitute

y+5=2(x-3)

<em>Second case</em>

we have

m=2

point\ (1,-9)

substitute

y+9=2(x-1)

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

You might be interested in
18. Twelve theatre tickets cost $66. What is<br> the cost of 5 tickets?
nikklg [1K]

Answer:

$27.50

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the cirumference of a circle with a diameter of 4.1 cm
nordsb [41]

<em>Answer:</em>

<em>C = 12.88</em>

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

<em>If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by </em><em>π</em><em> to get the diameter.</em>

<em>C = π d = π · 4.1 = </em><em>12.88</em><em>053cm </em>

Glad to help ya!!

5 0
2 years ago
Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum
const2013 [10]

Answer:  The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

S=\sum_{i=1}^{\infty}15(4)^{i-1}.

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, \sum_{i=1}^{\infty}a_i is an infinite series, with complex coefficients a_i and we consider the following limit:

L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.

Then, the series will be convergent if  L < 1 and divergent if  L > 1.

For the given series, we have

a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.

So, the limit is given by

L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0
3 years ago
Read 2 more answers
How many FIVES are equal in value to £7?
OLga [1]
<span>£1 equals to 1.43 us dollars.

7 </span>× 1.43 = <span>10.01

</span>10.01 ÷ 5 = <span>2.002
</span>
2 fives are equal to <span>£7. </span>
5 0
3 years ago
Need some help with this math question, can someone help me out pls
Sergeeva-Olga [200]

Okay I'm not too sure on this but I believe it is the third one.

I hope this helps!!

3 0
3 years ago
Other questions:
  • In DEF,the measure of F=90, FD=75 feet, and EF=95 feet. Find the measure of D to the nearest tenth of a degree
    12·1 answer
  • Which number is a common factor of 50 and 125? A) 15 B) 25 C) 45 D) 50 F) Jk, I'm just joking with you guys, anyone who answers
    12·1 answer
  • If AB = 15, BC = 12, and CA = 8, list the angles of abc in order from smallest to largest.
    12·2 answers
  • A+5=5a+5 how do i do this problem
    9·1 answer
  • Solve 7x+4y=8 for y. help, how do i solve?
    15·1 answer
  • 2(3a + 6) = 4(a - 2)
    11·2 answers
  • Linear Functions, Determining Slope
    6·1 answer
  • Can someone pls help for brainlest
    12·1 answer
  • A<br> B<br> C<br> D<br> Please help me
    12·1 answer
  • A water sprinkler covers the area shown in the figure.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!