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aalyn [17]
4 years ago
13

Express the line passing through the points A(6,-2) and B(-2,8) in y=mx+b form ​

Mathematics
1 answer:
Rasek [7]4 years ago
5 0

Answer:

Step-by-step explanation:

You first need to find the slope using the slope formula:

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

For us,

m=\frac{8-(-2)}{-2-6}=\frac{10}{-8}=-\frac{5}{4}

Now we have the m value.  Choose one of the points you were given to write the equation.  I am going to use (6, -2) and plug into the slope-intercept form and then solve for y:

y-(-2)=-\frac{5}{4}(x-6) which simplifies a bit to

y+2=-\frac{5}{4}x+\frac{30}{4}

Now subtract 2 from both sides, expressing 2 as a fraction with a denominator of 4:

y=-\frac{5}{4}x+\frac{30}{4}-\frac{8}{4} which simplifies finally to

y=-\frac{5}{4}x+\frac{11}{2}

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The current in a simple electrical circuit is inversely proportional to the resistance. The current is 80 amps when the resistan
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3 years ago
An online company sells handmade samurai katana swords. The website costs $ 390 a month to maintain. Each katana costs $ 195 to
Arada [10]

Answer:

The correct answer is the linear model would be y = 500x - 390 where x is the number of swords sold in a month and y is the net monthly profit; B. 4.96 ≈ 5 swords monthly.

Step-by-step explanation:

Let x number of swords are sold per month.

Cost price of the swords per month is $ 195x.

Fixed cost to maintain the website per month is $390.

Total cost incurred per month is $ (195x + 390).

Selling price per katana is $695.

Total selling price of x swords per month is $695x.

Therefore, Net monthly profit y =695x - (195x + 390)

⇒ y = 695x - 195x - 390

⇒ y = 500x - 390

Thus the linear model would look like y = 500x - 390 where x is the number of swords sold in a month and y is the net monthly profit.

B. Now, given monthly profit y = $2090.

Thus the number of swords needed to be sold is

2090 = 500x - 390

⇒ 2480 = 500x

⇒ x = 4.96

A minimum of 5 swords need to be sold to get a monthly profit of more than $2090.

5 0
3 years ago
What is the solution to the equation? 6x – 27 = –3 A. x = –5 B. x = –4 C. x = 4 D. x = 5
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4 years ago
What is a simplified form of the expression (5^2)-^2Divided by 5^3
laila [671]

Answer:

5^ -7  =1 / 5^7

Step-by-step explanation:

(5^2)-^2/ 5^3

We know that a^b^c = a^(b*c)

(5^2)-^2 = 5^(2*-2) = 5^-4

5^-4/  5^3

We know that a^b /a^c = a^ (b-c)

5 ^ (-4-3)

5^ -7

If we don't want to use negative exponents

We know that a^ -b = 1/ a^b

1 / 5^7

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3 years ago
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