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alexdok [17]
3 years ago
12

What is the equation of this line?

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0
One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =  \frac{y_{1}-y_{2}}{x_{1}-x_{2}}
Plugging this in for our points, we get \frac{0-5}{10-0} = -5/10=-1/2 as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)

Feel free to ask further questions!
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Principal Lopez asked her 500 students to vote on the school's annual gift. 300 students voted to donate a telescope for the sci
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Using the percentage concept, it is found that 60% of the students voted to donate a telescope.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

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The <em>percentage </em>is given by:

P = \frac{300}{500} \times 100\% = 60\%

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More can be learned about the percentage concept at brainly.com/question/10491646

5 0
2 years ago
A landscaping company placed two orders with a nursery. The first order was for 13 shrubs and 4 trees and totaled 487. The secon
AVprozaik [17]

Answer:

Cost of shrubs = 23

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Step-by-step explanation:

Let

Cost of shrubs = x

Cost of tree = y

13x + 4y = 487 (1)

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Multiply (2) by 2

12x + 4y = 464 (3)

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