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
kolbaska11 [484]
3 years ago
15

Write the standard form of the equation of the line through the given point with the given slope. Through (-2,5), slope =-4

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

\huge\boxed{4x+y=-3}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>(x₁, y₁)</em><em> - point on a line</em>

<em>m</em><em> - slope</em>

<em />

We have

m=-4,\ (-2,\ 5)\to x_1=-2,\ y_1=5

Substitute:

y-5=-4(x-(-2))\\\\y-5=-4(x+2)

Convert to the standard form

Ax+By=C

y-5=-4(x+2)                <em> use the distributive property</em>

y-5=(-4)(x)+(-4)(2)

y-5=-4x-8               <em>add 5 to both sides</em>

y-5+5=-4x-8+5

y=-4x-3               <em>add 4x to both sides</em>

4x+y=-4x+4x-3\\\\4x+y=-3

You might be interested in
Closing a credit card usually -- your debt ratio?
Ad libitum [116K]
D) improves d) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improvesd) improves
8 0
3 years ago
Read 2 more answers
Look at the following expression and tile model. White tiles are positive and gray tiles are negative.
Dovator [93]

Answer:

5

Step-by-step explanation:

8 0
2 years ago
Can someone help me with this
Elenna [48]
Answer: x = 9

Explanation:
4 0
2 years ago
Read 2 more answers
A town has a population of 2000 and grows at 4.5% every year. What will be the
goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

F=P(1+r)^t

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

<em>we can plug the numbers into the formula and solve for F:</em>

<em>F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4</em>

<em>rounded to the nearest whole number, the </em><em>population after 13 years would be 3544</em>

3 0
3 years ago
Read 2 more answers
What is the following product?<br> 3 square root of 5 • square root of 2
evablogger [386]

The answer is 6√200, or on edge.

5 0
3 years ago
Other questions:
  • there are 150 sheep in a flock 34% of them are white what is the total number of white sheep in the flock?
    5·1 answer
  • What are the roots of the polynomial equation x^3 -6x=3x^2-8? Use a graphing calculator and a system of equations.
    9·2 answers
  • Which set of ordered pairs does not represent a function?
    13·1 answer
  • Determine whether the two lines are parallel, perpendicular or neither x-3y=6 y=3x+4
    9·1 answer
  • The answers to both of the questions
    14·2 answers
  • Solving inequalities. x-3&lt;(-2)
    11·1 answer
  • ANSWER!!! I NEED ANSWER NOW OR I MIGHT FAIL!!! WILL GIVE BRAInLIEST
    12·1 answer
  • Similar Figures/Proportion
    12·2 answers
  • Your original grades on your exams were: 75, 85, 90, 90, 100, 75, 80, 100, 90. You retake the exams and now your scores are: 85,
    15·1 answer
  • The highest temperature ever recorded in chicago was 105F and the lowest was -27F use absolute values to find the difference bet
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!