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
rosijanka [135]
3 years ago
14

Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6)

Mathematics
1 answer:
horrorfan [7]3 years ago
4 0

9514 1404 393

Answer:

  A.  15x +14y = -36

Step-by-step explanation:

Since we are given two points, we can start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (6 -(-9))/(-8 -6)(x -6) +(-9)

  y = 15/-14(x -6) -9

Multiplying by -14, we have ...

  -14y = 15x -90 +126

Adding 14y-36 to both sides gives ...

  -36 = 15x +14y . . . . matches choice A

The standard-form equation is ...

  15x +14y = -36

_____

<em>Additional comments</em>

It can be easier to start with the form ...

  (Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1

This gives ...

  (6+9)x -(-8-6)y = 15(6) +14(-9)

  15x +14y = -36 . . . simplified

__

You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.

You might be interested in
What is the correct answer NEED IT ASAP PLEASE​
tia_tia [17]

It is the last choice

  • Amount she makes at McDonald's: 9x
  • Amount she makes at babysitting: 12x
  • Wants to save at least $1000

9x+12y\geq 1000

Hope that helps!

3 0
2 years ago
Read 2 more answers
A triangle has sides of length 5, 8, and 10. What is the measure of its largest angle?
masha68 [24]
We'll use the Law of Cosines
We'll call
side a = length 5
side b = length 8
side c = length 10
and their corresponding angles as A, B and C
"C" would be the largest angle
cos (C) = (a^2 + b^2 - c^2) / 2 * a * b
cos (C) = (5^2 + 8^2 - 10^2) / 2 * 5 * 8
cos (C) = 25 + 64 -100 / 80
cos (C) = -11 / 80
cos (C) = <span> <span> <span> -0.1375 </span> </span> </span>
arc cosine ( <span> <span> <span> -0.1375 </span> </span> </span> ) = 97.903 Degrees
The largest angle is 97.903 Degrees



8 0
3 years ago
I need clear steps to solve this. I am struggling with this part.
MissTica
In order to find the average of all the costs, first you need to add up all of the expenditures from each month. (ex. 1,084.45+886.40+968.45+1,117.60+995.80+1,379.86) After you find the solution from adding those numbers together, divide the solution by the amount of costs there are in order to find the average. Since it was for 6 months, get the total from the addition problem and divide it by 6 and that will be your answer.
8 0
3 years ago
PLEASE HELP ME AHHHHHHHHHHHHH
serg [7]

Answer:

378 marbles are blue, and 270 marbles are red

Step-by-step explanation:

The total number of ratio units must be multiplied by 6 to get the total number of marbles. Hence the number of blue marbles is 63×6 = 378, and the number of red marbles is 45×6 = 270.

3 0
3 years ago
Read 2 more answers
Sara travels twice as far as Eliot when going to camp. henry travels as far as Sara and Eliot together. Jordan travels time as f
ozzi

Answer:

Eliot = 10 miles

Sara = 20 miles

Henry = 30 miles

Jordan = 60 miles

Completed question;

Sara travels twice as far as Eliot when going to camp. henry travels as far as Sara and Eliot together. Jordan travels 3 times as far as Sara. In total, all four travel 120 miles to camp. How far does each of them travel

Step-by-step explanation:

Let x,y,z,w represent the distance travelled by Eliot, sara, henry and jordan respectively.

In total, all four travel 120 miles to camp;

x+y+z+w = 120 ........1

Sara travels twice as far as Eliot when going to camp;

y = 2x ........2

henry travels as far as Sara and Eliot together;

z = x + y = x + 2x = 3x (Substitute eqn 2)

z = 3x ......3

Jordan travels time as far as Sara;

w = 3y = 3(2x) = 6x

w = 6x ......4

Substituting equation 2,3,4 into 1

x+y+z+w = 120

x + 2x + 3x + 6x = 120

12x = 120

x = 120/12 = 10 miles

From equation 2

y = 2x = 2(10) = 20 miles

From equation 3;

z = 3x = 3(10) = 30 miles

From equation 4;

w = 6x = 6(10) = 60 miles

Therefore;

Eliot = 10 miles

Sara = 20 miles

Henry = 30 miles

Jordan = 60 miles

3 0
3 years ago
Other questions:
  • I need help!!!!!! what is x&amp;y?
    14·1 answer
  • A rope 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole.
    15·2 answers
  • If the length and breadth of a rectangle are 10cm and 20cm respectively,find the length of its diagonal
    6·2 answers
  • The distance from the center of a round table top to the edge of the table top is 4 feet what's the area of the tabletop
    6·2 answers
  • In November 2010 the average price of 5 gallons of regular unleaded gasoline in the United states was $14.46. what was the price
    14·1 answer
  • Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was
    5·2 answers
  • Leo reads 10 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page. The unit rate is blank pages per h
    14·1 answer
  • W* <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}" alt="\frac{5}{6}" align="absmid
    14·1 answer
  • Help me with this please
    7·1 answer
  • What is the slope of y=-5x+8
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!