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
Salsk061 [2.6K]
3 years ago
15

A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-i

ntercept form. (1 , 12) , (3, 2)
Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for the equation of a line in point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents the slope. The formula for determining slope is

Slope = (y2 - y1) /(x2 -;x1)

Where

y2 represents final value of y = 2

y1 represents initial value of y = 12

x2 represents final value of x = 3

x1 represents initial value of x = 1

Therefore,

Slope = (2 - 12)/(3 - 1) = - 10/2 = -5

Therefore, the point slope form would be

y - 12 = - 5(x - 1)

The equation for the slope-intercept form is expressed as

y = mx + c

Where c = intercept

To determine c, we would substitute m = - 5, x = 1 and y = 12 into y = mx + c. It becomes

12 = - 5 × 1 + c = - 5 + c

c = 12 + 5 = 17

The equation becomes

y = - 5x + 17

Andre45 [30]3 years ago
6 0

Answer:

The answer to your question is  a)      y - 2 = -5(x - 3)  

                                                      b)     y = -5x + 17  

Step-by-step explanation:

Data

A (1, 12)

B (3, 2)

Process

1.- Find the slope

Formula

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

Substitution

m = \frac{2 - 12}{3 - 1} = \frac{-10}{2} = - 5

2.- Find the equation in point slope form

Equation

                             y - y1 = m(x - x1)

Substitution and equation

                           y - 2 = -5(x - 3)

3.- Find the slope-intercept form

Expand the point slope form

                           y - 2 = -5x + 15

Simplify

                           y = -5x + 15 + 2

Equation

                          y = -5x + 17                                            

You might be interested in
The sum of one-fifth of a number and two is five
Veseljchak [2.6K]

Answer:

15

Step-by-step explanation:

Let us first write an equation where the unknown number is represented with variable x. <em>The sum of a fifth of x and two is five:</em>

\frac{1}{5} x+2=5

Great! Let's solve for x by isolating the variable.

\frac{1}{5}x=3\\x=15

<u>Therefore, the unknown number is 15.</u>

<u />

<em>I hope this helps! Let me know if you have any questions :)</em>

3 0
3 years ago
Solve for the variable: 2x - 28 = 16
svlad2 [7]
2x = 44
44/2 = x
X= 22
4 0
3 years ago
Read 2 more answers
Can anyone help me with number 10??
Galina-37 [17]

Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form  y=mx+b to find the line perpendicular to  3x−4y=−2.

4 0
3 years ago
To rent a uhal truck for the day, it cost 20 dollars per day plus 1 dollar for every mile driven Write an algebraic expression t
valkas [14]

Answer:

The equation is R = 20d + m(1)

Where R is the rental amount in dollars, d is the number of days and m is the number of miles driven

R for 3 days and 1000 miles is $1,060

Step-by-step explanation:

To properly represent the algebraic expression, we need to assign some variables.

Now, let the rental amount be R, the number of miles driven be m and the number of days rented for is d

Thus, we can say that:

R = 20d+ m(1)

Where R is rental amount, m is the number of miles driven and d is the number of days for which the truck was driven.

Now we are asked to calculate rental amount for 3 days and 1000 miles.

R = 20d + m(1)

R = 20(3) + 1000(1)

R = 60 + 1000

R = $1,060

5 0
3 years ago
Help me please thank you
Ainat [17]
First one is -8. 

Second one, I can't tell because I don't see it

5 0
3 years ago
Read 2 more answers
Other questions:
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    6·1 answer
  • Simplify. Show your work.<br><br> (x−1)(2x+2)
    13·2 answers
  • An investor invests $500 in a certain stock. After the first six months, the value if the stock has increased at a rate of $20 p
    12·2 answers
  • Which equation demonstrates the distributive property?
    8·2 answers
  • What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
    6·1 answer
  • protocol for flushing a cooling water system at a nuclear reactor requires that a drain valve be opened while the fill pumps are
    13·1 answer
  • Toni can carry up to 19 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 4 lb each
    9·1 answer
  • Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pound
    12·2 answers
  • y+11=28. If eleven is subtracted from the left-hand side of the equation then what number needs to be subtracted from the right-
    14·2 answers
  • Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graph
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!