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3 years ago

What is the slope of the line that passes through the points (-2,7) and (2,-5) in simplest form ?

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Its $m=\dfrac{\Delta y}{\Delta x}=\dfrac{7-(-5)}{-2-2}=\dfrac{12}{-4}=\boxed{-3}$ .

Hope this helps.

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Which relation is a function? {(–4, –6), (–3, –2), (1, –2), (1, 0)} {(–2, –12), (–2, 0), (–2, 4), (–2, 11)} {(0,1), (0, 2), (1,

Blababa [14]

Answer:

$\{(8, 1), (4, 1), (0,1), (-15, 1)\}$

Step-by-step explanation:

Given

$\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}$

$\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}$

$\{(0,1), (0, 2), (1, 2), (1, 3)\}$

$\{(8, 1), (4, 1), (0,1), (-15, 1)\}$

Required

Determine which is a function

A relation is divided into 2; (x,y)

Where x represents the range and y stands for the domain

For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x

Testing each of the given options

A. $\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}$

Start by splitting the relation into x and y columns

$(x,y)$

$(-4, -6)$

$(-3, -2)$

$(1, -2)$

$(1, 0)$

Notice that the third and fourth relation has the same x value of 1;

Hence, this is not a function

B. $\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}$

Start by splitting the relation into x and y columns

$(x,y)$

$(-2, -12)$

$(-2, 0)$

$(-2, 4)$

$(-2, 11)$

Notice that all relations has the same x value of -2;

Hence, this is also not a function

C. $\{(0,1), (0, 2), (1, 2), (1, 3)\}$

Start by splitting the relation into x and y columns

$(x,y)$

$(0, 1)$

$(0, 2)$

$(1, 2)$

$(1, 3)$

Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;

Hence, this is also not a function

D. $\{(8, 1), (4, 1), (0,1), (-15, 1)\}$

Start by splitting the relation into x and y columns

$(x,y)$

$(8, 1)$

$(4, 1)$

$(0, 1)$

$(-15, 1)$

Notice that relation has the unique x values of 8, 4, 0 and -15

Hence, this relation is a function

3 0

3 years ago

Read 2 more answers

Complete the ratio table below to show ratios equivalent to 4:18.

VashaNatasha [74]

2:9 is equivalent, but i cant see the ratio table

6 0

3 years ago

Simplify show all steps 30 POINTS

uysha [10]

Answer:

(y+4) /2

Step-by-step explanation:

(y²-16)/(2y+6) × (y+3)/(y-4) =

(y+4)(y-4) / 2(y+3) × (y+3)/(y-4)

=> eliminate all (y-4) and (y+3)

so, we get :

(y+4)/2

3 0

3 years ago

Q11. It takes 3 painters 2 days to complete a job. Work out how long 1 painter would take.

fenix001 [56]

Answer:

Step-by-step explanation:

1 painter is 1/3 of 3 painters, so the answer is 2 x 3=6

Hope I helped!

3 0

3 years ago

HELP ME PLEASEEEEEEEEEEEE

Anvisha [2.4K]

Answer:

Step-by-step explanation:

There is really only one solution which is the third choice. When you are dealing with the equation in the form of y = mx + b, the b stands for the y-intercept. So, your y-intercept equals -1. When you are finding the x-intercept you can just substitute y for 0(the definition of x-intercept is where the graph crosses the x-axis, meaning y needs to be equal to 0) and you get that x equals 1/5.

6 0

3 years ago