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3 years ago

Through: (3, 4), slope = -2

Mathematics

2 answers:

sineoko [7]3 years ago

8 0

Answer:

y = -2x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Points: (3, 4)

Slope: -2

y = -2x + b

4 = -2 ( 3 ) + b

4 = -6 + b

b = -2

y = -2x - 2

Natasha2012 [34]3 years ago

7 0

Answer:

y = -2x + 10

Step-by-step explanation:

To find the equation y=mx+b

The slope is already given so plug it in

y = -2x + b

Then your given a point so plug that into the equation to find b

y=4

x=3

4 = -2(3) + b

4 = -6 + b

+6 +6

10 = b

then plug everything in and your equation is y = -2x + 10

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NOT is coded as LKF and FLY is coded as TNA, then which of the following word/s has/have correct coding? (1) TOP – FKJ (2) RUN –

AVprozaik [17]

Answer:

(1) and (3) are correct options

Step-by-step explanation:

NOT is coded as LKF
FLY is coded as TNA

<u>Using alphabet, we can see that:</u>

NOT = 14, 15, 20 ⇔ 13+1, 13+2, 13+7 ⇒ LKF = 12,11,6 = 13-1, 13-2, 13-7

Coding for each letter is 13 + x ⇒ 13 - x

(1) TOP ⇒ FKJ

TOP = 20,15,16 ⇒ 13-7, 13-2, 13-3 = 6,11,10 = FKJ
Correct

(2) RUN ⇒ IFM

RUN = 18,21,14 ⇒ 13-5,13-8,13-1 = 8,5,12 = HEL ≠ IFM
Incorrect

(3) MUG ⇒ MES

MUG = 13,21,7 ⇒ 13+0, 13-8, 13+6 = 13,5,19 = MES
Correct

(4) HOT ⇒ RKG

HOT = 8,15,20 ⇒ 13+5,13-2, 13-7 = 18,11,6 = RKF ≠ RKG
Incorrect

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3 years ago

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3 years ago

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3 years ago

On a map, 9 cm represents 15 miles. If the distance between two cities on the map is 15 cm, how many miles separate the cities?

torisob [31]

Answer:

15 cm on the map is equal to 25 miles.

Step-by-step explanation:

Given that,

On a map, 9 cm represents 15 miles.

The distance between two cities is 15 cm. We need to find the distance in miles.

9 cm = 15 miles

$1\ cm=\dfrac{15}{9}\ \miles$

So, 15 cm is equal to,

$15\ cm=\dfrac{15}{9}\times 15\ miles\\\\=25\ miles$

So, 15 cm on the map is equal to 25 miles.

4 0

3 years ago

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Alchen [17]

Answer:

$\large\boxed{y=\dfrac{4}{3}x}$

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

$m=\dfrac{y}{x}$

We have the point (6, 8). Substitute:

$m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}$

Finally:

$y=\dfrac{4}{3}x$

4 0

3 years ago

Through: (3, 4), slope = -2​

Through: (3, 4), slope = -2