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
Ghella [55]
2 years ago
12

PLEASE HELP! I’m struggling with each part any help will be amazing

Mathematics
1 answer:
Vlad [161]2 years ago
5 0

Answer:

<u>slope:</u> -5/2

<u>y-intercept</u>: (0, 2)

<u>Linear function</u>: y = -5/2x + 2

Step-by-step explanation:

Given points (-2, 7) and (2, -3):

Use these points to solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

Let  (x1, y1) =  (-2, 7)

      (x2, y2) =  (2, -3)

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 7) / [2 - (-2)]

m = -10/ (2 + 2)

m = -10/4 = -5/2

Therefore, the  slope of the line in reduced form is m = -5/2.

The y-intercept is the <u>y-coordinate</u> of the point (0, <em>b</em>) where the graph of the linear equation crosses the y-axis of the Cartesian grid. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, use one of the given points (2, -3) and the slope (m = -5/2), and substitute their values into the slope-intercept form:

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

Add 5 to both sides to solve for the y-intercept, b:

-3 + 5 = -5 + 5 + b

2 = b

Given the value of b = 2, it means that the y-intercept is (0, 2).

Therefore, given the slope of -5/2, and the y-intercept, b = 2:

The linear equation in slope-intercept form is: y = -5/2x + 2

Please mark my answers as the Brainliest, if you find this helpful :)

You might be interested in
Use the distributive property to write an expression that is equivalent to 12+4x.
Umnica [9.8K]
The equivalent expression the equation 12+4x is 4(3+x) using the distributive property.
8 0
3 years ago
A set of raw paired sample data is given below. Convert this raw data into paired ranks, and calculate the value of the rs test
SOVA2 [1]

here is the data set for the complete question

x: 18 21 19 21 20 21

y; 2 14 5 6 18 18

Answer:

B. 0.652

Step-by-step explanation:

x   y   rank of x     rank of y   d         d²

18   2     1                1               0          0

21   14    4                4             0          0

19    5     2               2             0          0

21    6     4               3            1            1

20    18    3             5.5         -2.5      6.25

21     18    4             5.5          -1.5       2.25

∑d² = 8.5

rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)

= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)

= 1 - 0.348

= 0.652

therefore option b is the right answer.

5 0
3 years ago
How would I solve y=5x-2 &amp; -14x+y=16 in a substitution equation
Aleks04 [339]
You would substitute the given value of “y” into the equation of -14x+y=16
-14x+5x-2=16

Then you would solve for “x”
x=2

You would then substitute the value of “x” into the equation to solve for “y”
y=5(2)-2

Which would then give you a value for “y”
y=12
So the answer is (2,12)

7 0
3 years ago
The ratio of lollipops to pieces of bubble gum at the party is 2 to 3. There are 24 lollipops. ​ ​What is the total number of lo
disa [49]

Answer: 40

Step-by-step explanation: first make the ratio into a fraction, 2/3

then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24

then cross multiply 2 and 24.

2x24=48

then divide 48 by 3, 16.

last add the number of lollipops to 16 and the answer is 40.

5 0
2 years ago
Read 2 more answers
Explain how to find the missing exponent given the base and the value
drek231 [11]

Answer:

To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.

On both sides, powers have the same base, so their exponents must be equal.

Step-by-step explanation:

<h3>Problem 1:</h3>

Write the missing exponent:

25=5^x

Let x be the missing exponent.

To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.

That is,

25=5*5 or 5^2

Now,

5^2=5^x

Powers have the same base so their exponent must be equal.

Hence the missing exponent is 2

6 0
3 years ago
Other questions:
  • Which polynomial, when added to the polynomial 5x^2-3x-9 is equivalent to: 18
    7·1 answer
  • 50 POINTS!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!
    5·2 answers
  • Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll requires 2/7 of a yard of fabric. How many shirts
    7·1 answer
  • Graph y= 1/2x–3 . <br> Where would I put the points ?
    12·1 answer
  • Mr. Johnson spends $5 every day at Dunkin Donuts before coming to school. If he works 5 days a week, then what number represents
    7·1 answer
  • What the answer to the question
    14·2 answers
  • When 14 is subtracted from 6 times a number, 40 is
    9·1 answer
  • Approximate the value of square root 44 to The nearest hundredth
    11·2 answers
  • Rectangle A is a scaled version of rectangle B. The dimensions of rectangle A are four times the dimensions of rectangle B. The
    10·1 answer
  • PLEASE HELP ASAPPPP. WILL GIVE BRAINLIEST AND 5 STAR RATING. thank u in advance !!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!