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
Sloan [31]
3 years ago
11

A line passes through the point (-1, -9) and has a slope of -7.

Mathematics
1 answer:
tia_tia [17]3 years ago
7 0

Answer:

y = -7x - 16

Step-by-step explanation:

The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:

-9=-7(-1)+b

-9=7+b

b=-9-7=-16

With this, we get the value -16, making the equation y = -7x - 16

You might be interested in
Rearrange this to make a the subject
lyudmila [28]

Answer:

w = 3(2a + b) - 4

w = 6a + 3b - 4

a = (w - 3b + 4) / 6

7 0
4 years ago
Read 2 more answers
Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30
TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

-7, -3, 1, 5, . . .

An arithmetic sequence has a constant difference d and is defined by

a_n=a_1+\left(n-1\right)d

\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n

-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4

\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

d=4

\mathrm{The\:first\:element\:of\:the\:sequence\:is}

a_1=-7

as

a_n=a_1+\left(n-1\right)d

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:

a_n=4\left(n-1\right)-7           ∵ d=4

\mathrm{Arithmetic\:sequence\:sum\:formula:}

n\left(a_1+\frac{d\left(n-1\right)}{2}\right)

\mathrm{Plug\:in\:the\:values:}

n=30,\:\space a_1=-7,\:\spaced=4

=30\left(-7+\frac{4\left(30-1\right)}{2}\right)

=30\left(58-7\right)     ∵  \frac{4\left(30-1\right)}{2}=58

=30\cdot \:51

=1530           ∵  \mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

a_n=4\left(n-1\right)-7

n = 30

\sum _{n=1}^{30}\:4\left(n-1\right)-7

=\sum _{n=1}^{30}4n-11

\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n

=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11

as

\sum _{n=1}^{30}4n=1860

and

\sum _{n=1}^{30}11=330

so

=1860-330

=1530

7 0
4 years ago
9:45 on Tuesday Questions
Sergio039 [100]

Answer:

  • 95°
  • 85°

Step-by-step explanation:

<u>Given angles are consecutive interior angles which sum up to 180°</u>

  • 9x + 14 + 8x + 13 = 180
  • 17x = 180 - 27
  • 17x = 153
  • x = 153/17
  • x = 9

<u>Angles</u>

  • 9x + 14 = 9*9 + 14 = 81 + 14 = 95°
  • 8x + 13 = 85°
8 0
3 years ago
Which options are correct representations of slope?
kakasveta [241]

Answer: Option 2

Step-by-step explanation:

7 0
3 years ago
Graph the line with slope 1/2<br> passing through the point (-4,1).
dem82 [27]

Answer:

from (-4,1) the line will go up to (-2,2) then (0,3)

Step-by-step explanation:

the slope 1/<em>2</em> dictates that the line will go up by 1 unit for every <em>2</em> units, then we just plot said line from the point given (<em>-4</em>,1) where we go up y by 1 and we go left on <em>x</em> by <em>2</em>

image could not be provided at this time, tho the line will have a slope that is between horizontal and increasing (to the left) at roughly 30 degrees ish

5 0
3 years ago
Other questions:
  • Lila is ordering photos online. Each photo cost $0.08, and there is a shipping charge of $4.00 how many photos can Lila order fo
    11·1 answer
  • 5. Write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6,
    9·1 answer
  • A package of AA batteries costs $3.50 plus an additional 6% tax. what is the price after?
    13·2 answers
  • Sixty seven percent of the employees in a company have managerial positions, and 58 percent of the employees in the company have
    14·1 answer
  • Please help, I will give five stars.
    5·2 answers
  • Odd number and the leading <br>coefficient is possitive ?<br>a​
    5·1 answer
  • 13.2 Area of Triangles<br> 2. Find the area of the triangle.<br> 14 ft<br> 17 ft
    6·2 answers
  • Which is a reasonable first step that can be used to solve the equation 4 x + 3 (x + 2) = 5 (2 x minus 3)? Distribute the 3 to x
    10·1 answer
  • Plssssssssssssssssssssssss​
    8·2 answers
  • Q4. The diagram shows a triangle inside a rectangle.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!