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
Paha777 [63]
3 years ago
13

What is the equation for the line that passes through the points (-5, 2) and (5,-6)?​

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

Answer:

4x + 5y = -10 or y = -⅘x - 2

Step-by-step explanation:

First, find the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m

\frac{ -2 - 6}{5 + 5}  =  - \frac{8}{10}  =  - \frac{4}{5}

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y + 6 = -⅘(x - 5)

y + 6 = -⅘x + 4

- 6 - 6

_______________

y = -⅘x - 2

If you want it in <em>Standard Form</em>:

y = -⅘x - 2

+⅘x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅘(x + 5)

y - 2 = -⅘x - 4

+ 2 + 2

______________

y = -⅘x - 2

y = -⅘x - 2

+⅘x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

You might be interested in
LA and B are complementary angles. If m ZA = (6x +29) and m
atroni [7]

Answer:

b

Step-by-step explanation:

qqqqqqqkkkkkkkkkk

6 0
2 years ago
What is the opportunity cost of one gun in this nation
serious [3.7K]
To produce 5 guns they lose 5 butter so I think opportunity cost of one gun would be one butter.
4 0
3 years ago
Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider
kiruha [24]

Answer:

Part A) V(t)=-5,750t+101,250

Part B) \$55,250

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

V(t)=mt+b

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

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

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

substitute

m=\frac{15,000-101,250}{15-0}

m=-\$5,750\ per\ year ----> is negative because is a decreasing function

The value of b is the initial value

so

b=\$101,250

substitute

V(t)=-5,750t+101,250

Part B) The value of the bulldozer after 8 years is

For t=8 years

substitute the value of t in the linear equation

V(t)=-5,750(8)+101,250=\$55,250

4 0
2 years ago
Azul has 4 green picks and no orange picks. You add orange picks so that they are 2 orange picks for every 1 green pick. How man
Ad libitum [116K]

Ratio of orange:green = 2:1


If there are 4 green picks then there are 8 orange picks.


Total number of picks = 4 + 8 = 12


Answer: There are now 12 picks in total.

8 0
3 years ago
What is the value of the expression 10 25 32 64​
Pavlova-9 [17]
Unless multiplayer plastic Container
7 0
2 years ago
Read 2 more answers
Other questions:
  • Someone pleaseee help♡ <br><br> Graph y &lt; 1 - 3x
    7·1 answer
  • Which expression is equivalent to (5•3)-4
    12·2 answers
  • 20. Seventy is 60% of what number?
    5·1 answer
  • Need help solving for AE
    10·1 answer
  • .A student earned 75 out of 100 in Col110 quiz for the first time, then she earned 85 out of 100 in the second time for the same
    8·1 answer
  • Help me PLEASEEEEEEEEEEEEE
    14·2 answers
  • Cora charges $20 for each lawn she mows. However, she has to pay her father $12
    8·1 answer
  • I need help quick- Thanks btw :&gt;
    11·1 answer
  • Must triangle EFG be congruent to triangle ABC? Justify.
    9·1 answer
  • Samuel and Jason spent 3/4 of their combined earnings from 100 by gift. How much do they spend? Is there enough left over from W
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!