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2 years ago

What is an equation of the line that passes through the points (-3, 7) and (3, 3)?

Mathematics

1 answer:

Margarita [4]2 years ago

3 0

Answer:

$y = -\frac{2}{3}x + 5$

Step-by-step explanation:

First you have to find the slope

$m = \frac{7 - 3}{-3 - 3} = \frac{4}{-6} = -\frac{2}{3}$

Now use the point-slope form by using one of the points and the slope. Let's use the point (3, 3)

$y - 3 = -\frac{2}{3} (x - 3)$

Multiply thru the equation by 3 to remove the fraction

3y - 9 = -2(x - 3) =

3y - 9 = -2x +6

3y = -2x + 15

$y = -\frac{2}{3}x + 5$ is the equation in slope-intercept form

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Write the fve-number summary for each set of data

oksian1 [2.3K]

Answer:

Step-by-step explanation:

first arrange the data from ascending to decending order

1,5,8,10,11,14,17,19,20,23

Q1=(N+1)/4

=(10+1)/4

=11/4

=2.75

=2 nd item+(3 rd -2 nd)term

=5+(8-5)

=5+3

Q2=(N+1)/2

=(10+1)/2

=11/2

=5.5 term

=(5 th term+6 th term)

=(11+14)/2

=25/2

=12.5

Q3=3(N+1)/4

=3(10+1)/4

=3*11/4

=33/4

=8.25

=8 th term +(9 th -8 th )term

=19+(20-19)

=19+1

=20

3 0

3 years ago

Khalid is going on a holiday to Vancouver. The distance from Edmonton to Vancouver is about 1 160 km. On a map, 1 cm represents

sineoko [7]

Poorly formulated question. Please provide a question as I am confused what you are asking.

6 0

3 years ago

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de

Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let $(x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $d=\sqrt{(2-5)^2+(4-3)^2}$

⇒ $d=\sqrt{9+1}$

⇒ $d=\sqrt{10}$ ....(1)

Now, we find the length of M'K'

let $(x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)$

$d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}$

⇒ $d^{'}=\sqrt{(-2+5)^2+(3-4)^2}$

⇒ $d^{'}=\sqrt{9+1}$

⇒ $d^{'}=\sqrt{10}$ .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct

3 0

3 years ago

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For the function f(x)=x^2-5x+6, where is the y-intercept?

Jlenok [28]

I believe the answer is 6

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3 years ago

Steven wants to buy a $500 bicycle Steven has no money saved but will be able to deposit $45 into a savings account when he rece

makkiz [27]

45 × 13 = 585

Which is exactly how much he'd need to pay back his sister and buy the bike. So, it would take him 13 weeks.

8 0

3 years ago

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