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3 years ago

What is the equation of a line with a slope of -2 that passes through the point (6, 8)?

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

4 0

Answer:

2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

KIM [24]3 years ago

3 0

Answer: 2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

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X = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{2}{3}" alt="\frac{2}{3}" align="absmi

jok3333 [9.3K]

x = -15

Step-by-step explanation:

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

Collect like terms and simplify

$x - \frac{2}{3} x = - 5 \\ \frac{1}{3} x = - 5$

Cross multiply

$x = - 5 \times 3 \\ \\ x = - 15$

6 0

3 years ago

10x + 8 = 3(x - 2) 10x + 8 = 3x

lisabon 2012 [21]

Answer:

1) -2

2) 8/7

Step-by-step explanation:

1) 10x+8=3(x-2)

10x+8=3x-6

10x-3x=-6-8

7x=-14

x=-2

2) 10x+8=3x

10x-3x=8

7x=8

x=8/7

Hope it helps

5 0

3 years ago

Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900

FrozenT [24]

Answer:

$Average = \$873$

Step-by-step explanation:

Given

$1000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for other days

Required

Compute the daily average

First, we need to compute the number of days her balance is $900

Assuming the billing cycle is 30 days;

$Number\ of\ days = 30 - (9 + 10 + 4)$

$Number\ of\ days = 30 - 23$

$Number\ of\ days = 7$

The Average is then calculates using:

$Average = \frac{\sum fx}{x}$

$Average = \frac{1000 * 9 + 750 * 10 + 850 * 4 + 900 * 7}{9 + 10 + 4+ 7}$

$Average = \frac{26200}{30}$

$Average = 873.333333333$

$Average = \$873$ --- Approximated

3 0

3 years ago

5 milligrams equals how many grams

katovenus [111]

5 milligrams are equal to .005 grams.

4 0

3 years ago

Read 2 more answers

Identify the polygon that has vertices A(−10,−1), P(−7,3), E(−3,0), and X(−6,−4), and then find the perimeter and area of the po

Bogdan [553]

Answer:

square; perimeter 20 units; area 25 square units.

Step-by-step explanation:

As the attachment shows, each side of the polygon is the hypotenuse of a 3-4-5 right triangle, so has length 5 units. The perimeter is the sum of those lengths, 4×5 = 20; the area is the product of the lengths of adjacent sides, 5×5 = 25.

The figure is a square of side length 5 units.

The perimeter is 20 units; the area is 25 square units.

4 0

3 years ago