Use slope formula, m= y2, - y1 over X2-X1 to find the slope of a line that passes through the points (-3, 8) and (4.-6).

m=

use the slope-intercept form, y=mx+b to find the y-intercept (b) of the line

b=

what is the new equation written in slope-intercept form y=mx+b​

Answers

Answer 1

Answer:

m= -2

b= 2

y= -2x + 2

Step-by-step explanation:

Just did it

Answer 2

The slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Given that the line that passes through the points (-3, 8) and (4.-6).

Let

x₁ = -3, y₁ = 8

x₂ = 4, y₂ = -6

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

m = (-6 - 8)/(4 -(-3))

m = (-14)/7

m = -2

y - 8 = m(x - (-3))

y - 8 = -2(x + 3)

y = -2x -6 + 8

y = -2x + 2

Since the slope-intercept form, y = mx+b

So the y-intercept (b) of the line,

b = 2

Thus, the slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.

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Related Questions


Mary has 24 pounds of sugar and is going to separate it into , pound bags for the students in her class. How many bags of sugar will she have?

Answers

Answer:

24?

Step-by-step explanation:

The daily high temperatures in a vacation resorts in approximately normal, with a mean temperature of 75 Fahrenheit and a standard deviation of 6 degrees. What percentage of days have a high temperature between 66 and 88?
A.17.01%
B.35.62%
C.64.37%
D.72.99%

Answers

Should be B I think

20 POINTS WILL MARK BRAINLIEST PLEASE EXPLAIN

Answers

Answer:

DCE is 54°

Step-by-step explanation:

To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:

for angle EDC: 180 - (9x - 31)

for angle CED: 180 - (4x + 33)

for angle DCE: 180 - (7x - 2)

we know that all angles in a triangle add up to 180°. So, our equation is:

180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.

simplify:

180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180

540 - 20x = 180

540 - 180 = 20x

360=20x

x= 18

for angle EDC: 180 - (9•18 - 31)=49°

for angle CED: 180 - (4•18 + 33)=75°

for angle DCE: 180 - (7•18 - 2)=54°

solve:4x+3y=20;4x+2y=10 by matrix method​

Answers

Answer:

i don't know sorry . and study well to make your future good

Removing which ordered pair will make the relation a function?

Answers

A. (4,3) because that’ll get rid of the 2nd four in the x.

Logic puzzle,Riddles

You enter a bedroom there are 34 people. You kill 30. How many are in the bedroom?

Answers

Answer:

4

Step-by-step explanation:

yes

35 including the body.

What numbers rounded to 200,000 when rounded to the nearest hundred thousand

Answers

Answer:

The answer would be 150,000 to 249,999

What is the quotient of (-55) divide by 5?

Answers

Answer:

11

Step-by-step explanation:

Answer:✨

-11

✨Step-by-step explanation:✨

-55 ÷ 5 = -11

(Just take the negative sign away and divide)

Situation: The No Doze Cafe sells Pumpkin Spice Lattes for $3 and Caramel Hot Apple Cider for $2. On a cool autumn morning, the shop sold 5 more Ciders than Lattes and made $25.
Define x and y variables and write the equation/s.

Answers

X is lattes y is ciders
3x+2y=25
y-x=5
y=5+x

3x+2(5+x)=25
3x+10+2x=25
5X=15
X=3

Y=3+5=8

The points D, E, F and G all lie on the same line segment, in that order, such that the ratio of DE:EF:FGDE:EF:FG is equal to 6:5:1.6:5:1. If DG=36,DG=36, find DF.DF.

Answers

Answer:

i

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

ve spent the whole weekend grading math assignments. I graded 30 students
work this weekend, which is 40% of my class. How many students do I have in
my class?

Answers

Answer:

75

Step-by-step explanation:

How many students is 1% of the class, 30/40=0.75, so you could do 0.75x100=75, or you could do 0.75x60=45, and 45+30=75.

Last year a sports team made $2,000,000 in profit, and this year it increased its profits
to $2,500,000. How much money was made on food sales in both years based on how
the sports team makes its profits:
• Programs: 15%
• Food: 40%
• Souvenirs: 25%
• Tickets: 20%

Answers

1,000,000

2,500,000x0.4 (40 as a decimal) = 1,000,000

There are 1200 students in a school 51% of them are female how many are male

Answers

The answer to this question is 612. Your welcome

Answer:

Step-by-step explanation:

588 are boys

1% of 1200 is 12, 50% is 600, add 12 and 600 together, you get 612, subtract it from 1200 and it gives you 588

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

Red is sus

Step-by-step explanation:

Answer: naah i think brown is sus he faked electrical vote him out

Step-by-step explanation:

I need help dudes... DO THIS ASAP AND I'LL MARK YOU THE BRAINlYLIEST!!!! PLUS this question it due in 20 mins sooo

Alex went to the store and purchased red and blue jelly beans. The ratio of red to blue jelly beans is 3 to 7. If 140 jelly beans were in the bag, how many red jelly beans were in the bag?

URGENT!!!

Answers

Answer:

ahhh telll meeeee i have the SAME questio

Step-by-step explanation:

The ratio of boys to girls is 4:6 in Mrs. Franklin's class. If there are 36 girls, how many boys are there?​

Answers

Answer:

24

Step-by-step explanation:

Lets say 4 boys to 6 girls if there are 36 girls do 4x6 to figure out the ratio of boys would be 24 boys and 36 girls if the other way around it would be 24 girls and 36 boys

-3y > 9 or y - 6 > 2

Answers

Answer:

Your answer is: y < -3 or y > 8

The union consists of all of the elements that are contained in each interval.

Step-by-step explanation:

Hope this helped : )

Find the GCF of 28p4 and 44p2q.

Answers

4p2

Factors:

28p4 = 1 2 4 7 14 28 p p p p

44p2q = 1 2 4 11 22 44 p p q

Which expression has the same sum as the one below?
- 15+6
0.15+6
0-6+(-15)
15+(-6)
6+(-15)

Answers

Answer:

6+(-15)

Step-by-step explanation:

=6+(-15)

=6-15

=-9

6+(-15)

Explanation:
-15+6 = -9

6+(-15)
Remove parentheses
6 - 15

Calculate the difference
6 - 15

Solution
-9
They Both Equal -9

How to round 86.415 to the nearest whole number end point

Answers

You would round this number by rounding each number (until the whole number) from right to left. So it would change from 86.415>86.42>86.4>87.

Hope this helps, if not, comment below please!!!

Answer:

86

Step-by-step explanation:

I'm not completely sure what this question is asking for. But if you want to round 86.415 to the nearest whole number, it would be 86, since any number less than 5 you would round down, and the 4 in the tenths place is less than 5.

t Park Junior High, 10%, or 160, of the students, play a musical instrument. How many students attend the school?

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 10 Over 100 EndFraction = StartFraction 160 Over question mark EndFraction

Which statements are correct? Check all that apply.
The total number of students is 160.
The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.
The percent as a part-to-whole ratio is StartFraction 160 Over 100 EndFraction
There are 1,600 students in the school.
There are 250 students in the school.

Answers

Answer:

The total number of students is > 160.

The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction.

There are 1,600 students in the school.

Step-by-step explanation:

got is correct

Answer:

2,3,5 for eg. 2020

Step-by-step explanation:

I need help with this question ! if someone could also explain what the answer is, that would be awesome.

Answers

Answer:

y=3/2x+3

Step-by-step explanation:

The slope is 3/2. The slope is m. We plug 3/2 into our equation.

y=mx+b

y=(3/2)x+b

Now we have to find b.

B is 3 because that's where it crosses the y axis.

So y=3/2x+3

Round off to the highest place value of 5658

Answers

Answer:

6000

Step-by-step explanation:

You want to make the 5 a 6 and zero's for the rest. You make the five a six because if the number is 5 or higher you bump it up one number, if it is 4 or lower you don't need to bump it up or down. I hope this helps!

Place values is the value of a digit in relation to its position

5658 approximated to the highest place value is 6000

The number is given as:

[tex]\mathbf{Number = 5658}[/tex]

The number is in thousands; so, the highest place value is thousands

This means that the number must be approximated to thousands.

When 5658 is approximated to the nearest thousands, the approximated value is:

[tex]\mathbf{Approximated = 6000}[/tex]

Hence, 5658 approximated to the highest place value is 6000

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which of the following functions has a range of all real numbers?

Answers

Answer:

c

Step-by-step explanation:

The dots cannot intersect

12x+7<−11 AND5x−8≥40

Answers

Answer:

12x+7<−11       x < - 1.5

5x−8≥40        x ≥ 9.6

Step-by-step explanation:

12x+7<−11    First, move the constant to the right. 12x < -11 - 7 Then, we can get the total value and then divide everything by 12. 12x < -18    ->   x < - 1.5

5x−8≥40    Move the constant to the right. 5x ≥ 40+8 Then, after we add the constants, we can divide both sides by 5. 5x ≥ 48     ->       x ≥ 9.6

Answer:

NO SOLUTION IS THE ANSWER FOR KHAN ACADEMY

Step-by-step explanation:

A costume designer needs some silver and gold thread for the costumes for a school play. She needs a total of 240 yards. At a store that sells thread by the yard, silver thread costs $0.04 a yard and gold thread costs $0.07 a yard. The designer has $15 to spend on the thread.

How many of each color should she get if she is buying exactly what is needed and spending all of her budget?

Write an equation for the length constraint. Write an equation for the cost constraint. solution

Answers

Answer:

Where s represents silver and g represents gold,

Length constraint: s+g=240

Cost constraint: 0.04s+0.07g=15

s= 60

g=180

Step-by-step explanation:

The measurement of silver and gold threads in yards is given as 60 and 180 respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the number of yards for silver threads be x and that of gold be y.

Then the equation for the total yard is given as,

x + y = 240                  (1)

And, the equation for the cost is,

0.04x + 0.07y = 15      (2)

The value of x from equation (1) is x = 240 - y.

Substitute the value of x in equation (2) to obtain,

0.04(240 - y) + 0.07y = 15  

=> 9.6 - 0.04y + 0.07y = 15

=> 0.03y = 15 - 9.6

=> 0.03y = 5.4

=> y = 180

Substitute the value of y in x = 240 - y to obtain,

x = 240 - 180 = 60

Hence, the costume designer should get  silver and gold thread of 60 yards and 180 yards respectively.

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Drag each description to the correct location on the table. Each description can be used more than once.
Classify each polynomial based on its degree and number of terms.
Polynomial
Name Using Degree
Name Using Number of Terms
5x - 8x
-6- X + 34²
-0.7*²
trinomial
binomial
trinomial
linear
monomial
cubic
quartic
quadratic
quartic
quintic

Answers

Answer:

Cubic-binomial

Quintic-trinomial

Quartic-monomial

Linear-binomial

Quadratic-monomial

Step-by-step explanation:they all in order

The answers are follows:

5x²-8x             Cubic                     binomial

-6-x^5 - 3x²     Quintic                  trinomial

1/3 x^4             Quartic                  monomial

-0.7x²              Quadratic              monomial

What is Polynomial?

Polynomials are sums of terms of the form k⋅ xⁿ, where k is any number and n is a positive integer.

According to the table:

5x²-8x             Cubic                     binomial

-6-x^5 - 3x²      Quintic                  trinomial

1/3 x^4              Quartic                  monomial

-0.7x²               Quadratic              monomial

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What is a more economical purchase, a 5-pound box of spaghetti priced at $6.02, or a 1.5-pound box for $1.70?

Answers

The 5 pound box of spaghetti(:

Which expression is equivalent to 42 + 63?

Answers

Answer: 104-63 maybe?

Step-by-step explanation:

Solve for X
2x + 4 = 10

Answers

Answer:

x = 3

Step-by-step explanation:

2x+4 = 10

2x = 6

x = 3

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