What is the slope of the line through the points (-4, 2) and (-16, -6)?
2/3
−5/2
2/5
3/2

Answer:

The slope is equal to [tex]\frac{2}{3}[/tex] . So the right answer is A.

Step-by-step explanation:

We know that if we are given to points of a function we can find out its slope by using the following formula....

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Where m is the slope,  [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the coordinates of the first point, [tex]x_{2}[/tex] and [tex]y_{2}[/tex] are coordinates of the second point.

Let (-4, 2) be [tex](x_{1} , y_{1})[/tex]

Let (-16, - 6) be [tex](x_{2}, y_{2} )[/tex]

then......

The slope of the line will be [tex]\frac{2}{3}[/tex] i.e. option A is the correct answer.

Slope is or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope [tex](m) =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

We have,

Points (-4, 2) and (-16, -6)

i.e.

x₁ = -4,  x₂ = -16,

And,

y₁ = 2,   y₂ = -6

Now,

Using the above mentioned formula,

Slope [tex](m) =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]    

i.e.

Slope [tex](m) =\frac{-6-2}{-16-(-4)}[/tex]

On solving we get,

Slope [tex](m) =\frac{-8}{-12}=\frac{2}{3}[/tex]

So, the slope pf the given points is  [tex]\frac{2}{3}[/tex] .

Hence, we can say that the slope of the line will be [tex]\frac{2}{3}[/tex] i.e. option A is the correct answer.

To know more about Slope click here

https://brainly.com/question/3605446

#SPJ2

Which equation represents a line with
a slope of 2 and a y-intercept of 4

Given this equation of the function f(x)=7x+9. Find f(−2).

Which expression means 9 less than twice n?

Evaluate:
(15 +12) -3² = ?

Which expression is equivalent to this one?

Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of your family's visit to the aquarium as a function of the number of hours that you are there. Find the total cost of 4 hours at the aquarium

answer the whole question

.
A bike race requires entrants to submit their best times before the race in order to qualify to participate. Bikers must be able to complete the 50-mile course in 2 hours or less.

Which of these times qualify for the race, assuming each biker rides at a constant rate? Choose the three correct answers.

1.Maria rode 75 miles in 2 hours and 45 minutes.

2.Travis rode 36 miles in 1 hour and 20 minutes.

3.Trish rode 63 miles in 3 hours.

4.Crystal rode 24 miles in 56 minutes.

5Carl rode 22 miles in 1 hour.

Determine the 16th term in the sequence defined by: A_n = 5–2(n-1)​

Multiple Choice The perimeter of a square
is 68 m. If one side is represented by 3x + 2,
what is the value of x?
A 3
B 5
C 4
D 6
E 10

Henry wants to see how many different colored crayons are in the crayon box.If there are 4 rows of 19 crayons,how many different colors are there?

PLEASEEEE helpppppp !!!! Will mark Brianliest !!!!!!!!!!!!!!

Carina drinks 96 ounces of water in an 8-hour workday. Which expression can be used to calculate the number of ounces of water that Carina drinks each hour?
A. 96/8
B. 8/96
C. 96x8
D.96+ 8

PLEASE HELP​

How much are 6 twenty's

HELP ASAPP!! HELP !!

Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?

Which equation is a linear function?
y=2^x -1
y=x/2-5
y=2/x +3
y=x^2 +7

Solve for n.

n/4 + 5 = 10

Answers appreciated :)

Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?

Solve for x. -4(-2x - 2) + x - 2 = -48​

The numbers of bags of crisps sold per day in a general shop was recorded over 13 days.

The results are shown below.
32 45 36 56 45 68 29 48 21 45 32 47 59

In order from smallest to biggest, the results are:
21 39 32 32 36 45 45 45 47 48 56 59 68

The formula for finding out the quartiles didn’t work when I tried it.

Lupe's car averages 27 miles per gallon of gas. At that rate, how far would it go on 27 gallons?

Help will mark brainlist.

1=
2=
3=
4=

Write the number
five million four thousand three hundred
in standard form

using the graphs below, identify which value of r, the correlation coefficient, best describes the graph

The population of wild rabbits, in thousands, in Wisconsin can be modelled by the following equation f(x)=9(1.01)x where x represents the number of years after the scientists started counting. How many wild rabbits, in thousands, will be in Wisconsin in 15 years?​

Which of the following lists is ordered from least to greatest?

-5, 0, 0.8, 1, 1
-3, -5, 0, 0.8, 1
-5, 0, 0.8, 1, 1
1, 0.8, , 0, -5
plz hurry and answer this

Pl help it for homwork

Cell phone Plan A costs $70 per month and comes with a $100 phone. Cell phone Plan B costs $50 per month and comes with a $200 Phone. How many months is it until the cost for both plans is the same?

Help me with this one pls