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
Kaylis [27]
3 years ago
12

How to write the slope-intercept form of the equation of the line through the given points: (-1,-3) and (-4,5)

Mathematics
2 answers:
posledela3 years ago
8 0
You can use the formula: y=mx+b; where m=slope and y=y-intercept.

1.) To find the slope: use the formula y1-y2/x1-x2, thus 5-(-3)/(-4)-(-1). The slope is -8/3.
2.) Solve using proportions: slope=y1-y2/x1-x2
therefore: -8/3=(y-(-3))/(x-(-1))=
3y+9=8x-8
3.) Isolate the y variable by subtracting the 9 from both sides and dividing by three: y=(-8/3)x-(17/3)

zysi [14]3 years ago
4 0
The slope-intercept form of a line is:

y=mx+b, where m=slope and b=y-intercept (value of y when x=0)

First you must find the slope, or m value.

m=(y2-y1)/(x2-x1), which is the change in y divided by the change in x.  In this case:

m=(5--3)/(-4--1)

m=(5+3)/(-4+1)

m=8/-3

m=-8/3

So far our line is:

y=-8x/3+b, we can now solve for the y-intercept, or b, using any point on the line, I'll use (-4,5):

5=-8(-4)/3+b

5=32/3+b

15/3=32/3+b

15/3-32/3=b

-17/3=b

So now we know the value for both terms in our line:

y=(-8x-17)/3
You might be interested in
Tonya wrote the equation below which solves for x.
vivado [14]

Given parameters:

    x = 150 minus 6 y

Interpreting this gives;

    minus = subtraction  = -

 

        x  = 150 - 6y

Now bring the variables together;

                    x + 6y  = 150

The option that matches with this equivalent.

The other choices are wrong;

   

   a,  x + 150 = 6 y

           x - 6y = 150   wrong

 c. 2x + 3y = 75   mulitply through by 2;

      2(2x + 3y) = 2(75)

        4x + 6y  = 150      wrong

   d. 2x - 3y = 75

    Multiply by 2;

     2(2x -3y) = 2(75)

      4x - 6y = 150

7 0
3 years ago
What is the difference between ordinary annuity and annuity due? Give some example of annuities.
telo118 [61]

Answer:

Annuity due is an annuity whose payment is due immediately at the beginning of each period. Annuity due can be contrasted with an ordinary annuity where payments are made at the end of each period. A common example of an annuity due payment is rent paid at the beginning of each month.

Step-by-step explanation:

Examples of annuities are regular deposits to a savings account, monthly home mortgage payments, monthly insurance payments and pension payments.

6 0
3 years ago
If your car gets 28 miles per​ gallon, how much does it cost to drive 350 miles when gasoline costs ​$2.50 per​ gallon?
Elan Coil [88]
350 / 28 = 12.5 gallons, so 13 gallons needed

13 X 2.5 = $32.50
3 0
3 years ago
Ayuda con estos ejercicios
joja [24]
1. x=6
2. y=6
3. x=10
4. y=10

1.c+9= 19
2. 9-y=7
3. 5y=30
4. u-u=0

1. 2(3x2 - 5x3)
   2(6-15)
   2x(-9)=18

3 0
3 years ago
What is 14145 divided by 23?
Kobotan [32]

Answer:

615

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve 3+4n/n = 7b for n
    14·1 answer
  • when walking home from school during the summer months, Harold buys either an ice-cream or a drink from the corner shop. If Haro
    15·1 answer
  • The difference between two positive numbers is 7 and the square of their sum is 225.fin the two numbers.
    9·1 answer
  • Help with number 1 is needed I don’t understand
    6·1 answer
  • Una caja de carton se ha disenado para qu contenga 184cm cubicos. Si su altura es de 10cm, cual es el area de la base?
    14·1 answer
  • **50 POINTS**
    15·2 answers
  • A fish tank holds 90 quarts of water. If you already put 10 gallons, how many more gallons will it take to fill the tank? 4 quar
    6·1 answer
  • Express your answer in scientific notation.<br> 4.9 X 10^5 – 5.8 X 10^4<br><br> WILL MARK BRAINLIST
    13·1 answer
  • The length of a rectangle is twice the width w. Which expressions represent the perimeter of the rectangle? Select all that appl
    13·1 answer
  • A family reduced its normal monthly gas bill of 70$ by 9$ . What percent decrease does this represent ? Round to the nearest ten
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!