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3 years ago

What is the slope of the line graphed below?

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

y2-y1 / x2-x1

1-2 / 3-(-2)

1-2 / 3+2

-1 / 5

marysya [2.9K]3 years ago

5 0

The slope of a line is the ratio between the difference of the y coordinates and the x coordinates of two of its points.

In this case, the difference between the y coordinates is 2-1=1

The difference between the x coordinates is -2-3=-5.

So, the slope is

$\dfrac{1}{-5}=-\dfrac{1}{5}$

You might be interested in

Simplify expression x8y-26/x14y-5 × x-39y-21

koban [17]

The simplified form of the expression is $x^{-45} y^{-42}$

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

The expression can be simplified as shown below

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

$\frac{x^{8} \times x^{-39} \times y^{-26} \times y^{-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8+-39} \times y^{-26+-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8-39} \times y^{-26-21} }{x^{14} \times y^{-5} }$

$\frac{x^{-31} \times y^{-47} }{x^{14} \times y^{-5} }$

Then,

$\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }$

$x^{-31-14} \times y^{-47--5}$

$x^{-31-14} \times y^{-47+5}$

$x^{-45} \times y^{-42}$

$x^{-45} y^{-42}$

Hence, the simplified form of the expression is $x^{-45} y^{-42}$

Learn more on Simplifying an expression here: brainly.com/question/2320607

#SPJ1

3 0

2 years ago

Complete the ordered pair so it a solution of 2x-5y=13

Ilya [14]

2 x - 5y = 13

2 × -1 - 5 × -3 = 13

Answer:
(-1, -3)

6 0

3 years ago

Find the distance between the points (4,3) and (2,-1). Express your answer in simplest radical form.

Kamila [148]

Answer : B

the distance between the points (4,3) and (2,-1)

We apply distance formula

$d^2= (x_2-x1)^2 + (y_2-y_1)^2$

(x1,y1) is (4,3)

(x2,y2) is (2,1)

$d^2= (2-4)^2 + (-1-3)^2$

$d^2= (-2)^2 + (-4)^2$

d^2 = 4+16 = 20

Take square root on both sides

So $d=2\sqrt{5}$

the distance between the points (4,3) and (2,-1) is 2sqrt(5)

3 0

3 years ago

Each unit on a coordinate plane represents 1 mile. One end of the road starts at (212,23). The road ends at (6,23). How long is

olya-2409 [2.1K]

Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(212,23)...x1 = 212 and y1 = 23
(6,23)......x2 = 6 and y2 = 23
now we sub
d = sqrt ((6 - 212)^2 + (23 - 23)^2)
d = sqrt ((- 206)^2 + (0^2))
d = sqrt (42436 + 0)
d = sqrt 42436
d = 206 miles <==

4 0

3 years ago

Algebra 2 word problem: Urgent!

vesna_86 [32]

Answer:

180 hours

Step-by-step explanation:

Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.

By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.

6 0

3 years ago