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
Nastasia [14]
3 years ago
15

What is the equation of the line that goes through the points (4,-1) and (2,3)?

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

<u>y = -2x + 7</u>

Explanation:

<em><u>y = mx + b</u></em>

<em><u /></em>

<em>m = slope</em>

<em>b = y-intercept</em>

<em>y = a given y coordinate</em>

<em>x = a corresponding x coordinate</em>

<em />

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-(-1)}{2-4} = \frac{4}{-2} = -2

plug in the values to the equation <u>y = mx + b</u>

<u />

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

<u><em>y = -2x + 7</em></u>

You might be interested in
What is 0.973.. as a fraction
Artyom0805 [142]
Well, since it has 3 numbers not including the 0, we could change it to 973/1000.
6 0
3 years ago
Read 2 more answers
The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about ​14.29%. What is the
Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

===================================================

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

---------------------

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

----------------------

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0
3 years ago
Read 2 more answers
Divide mentally<br> 270 divide 3=
yanalaym [24]

27/3 = 9 so 270/3 = 90

4 0
3 years ago
Read 2 more answers
Which operation will solve the following word problem? Sydney needs to double a cookie recipe,the recipe calls for 2/12 cups of
Liula [17]
Multiplication because you are going to multiply the recipe by 2 to double it.
7 0
3 years ago
Read 2 more answers
What number has the same value as12 tens
Nuetrik [128]
12 tens as in 12 10's
that equals
10+10+10+10+10+10+10+10+10+10+10+10
or 12 times 10
when multiply by 10, just move decimal place on e to the right
12.0 times 10=120

the answe ris 120
7 0
3 years ago
Other questions:
  • Brainliest answer gets the mark. Plus 25pts. Help me please!!!A store is having a sale on chocolate chips and walnuts. For 5 pou
    7·1 answer
  • Write down 4 odd digit numbers that will add up to 19
    13·1 answer
  • Solve each equation for the indicated variable <br><br> K=a-y;y<br><br> Dfg=h;g<br><br> W=x/a-b;x
    7·1 answer
  • Keith bought a pair of jeans at a discounted price of $91.00. The original price of the pair of jeans was $130.00. If Keith got
    5·2 answers
  • Two angles have the same measure. What are their measures if they are complementary angles? Supplementary angles?
    14·2 answers
  • Determine how many solutions the following equation has using quadratic formula x^2+5x=-8
    12·1 answer
  • Which of the following represents 32/100? A. thirty-two hundredths B. 0.032 C. 0.23 D. thrity-two tenths​
    9·1 answer
  • Estimate the average by first roundingto the nearest 100:<br> 120, 230, 455, 175
    14·1 answer
  • Answer these questions
    14·1 answer
  • Make and equation using the numbers 1, 7, 2, and 2. You can merge the numbers like turning 1 and 7 to 17 in your equation. It ha
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!