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
Semenov [28]
2 years ago
6

What’s the standard form of the line that passes through (7,-3) and has a y-intercept of 2?

Mathematics
2 answers:
Amiraneli [1.4K]2 years ago
8 0
First, let's solve in slope-intercept form since it's easier. After that, we can turn it into standard form.

Recall the format of slope-intercept form: y = mx + b

We know that the y-intercept is 2, so we can input it into our equation ('b' represents the y-intercept!)

y = mx + 2
In order to solve for the slope, input the coordinates (7, -3)

-3 = 7m + 2
-5 = 7m
m = -5/7

y = -5x/7+ 2
In order to turn it into standard form, just make sure 'x' and 'y' are on the same side:

y + 5x/7 = 2 is the standard form of the line

-T.B.
777dan777 [17]2 years ago
4 0

Answer:

Step-by-step explanation:

(y-y)=m(x-x)

(y--3)=2(x-7)

y+3=2x-14

y+3+14=2x

You might be interested in
Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t
Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53  is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) =  2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53  is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0
3 years ago
Can you please help me understand this question please?
GREYUIT [131]

Answer:

B

u just subsitute in each inequality form and so u will find the only one that is right is letter b

-4 is x

-2 is y

5 0
3 years ago
Rose is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the mat
dusya [7]

Answer:multiply

Step-by-step explanation:6x4 but i aint sure tho

5 0
2 years ago
Please please help me​
pychu [463]
14 and 15 are not functions while 13 and 16 are functions
3 0
3 years ago
Read 2 more answers
What number is needed to complete the pattern. 66 73 13 21 52 __ 10 20
svetoff [14.1K]
Please try 43 I'm not sure
3 0
3 years ago
Other questions:
  • Can someone help me please
    5·2 answers
  • F(x) = -5x +8(7-x) find x such that f(x) =160
    9·1 answer
  • X+9=6 CAN SOMEONE PLEASE explain this to me plz for 62 points if y'all get the right number that is on my paper
    10·2 answers
  • A fashion designer makes and sells hats. The material for each hat cost $5.50. The Hats sell for $12.50 each. The designer spend
    9·1 answer
  • What are two composite numbers between 60 and 90
    8·2 answers
  • Which equation can be used to solve for in the following diagram?
    12·1 answer
  • Find the y-intercept of the line on the graph.<br> Enter the correct answer.
    13·2 answers
  • PLEASE HELP THIS WILL GIVE 50 POINT AND BRAINLIEST!!!!!!
    15·1 answer
  • This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.
    14·1 answer
  • What is the area of Vivian’s garage door?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!