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Kisachek [45]
3 years ago
14

Write the point-slope equation of the line that passes through(3,5) and (7,1)

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer:   y - 1 = –(x –7)

or   y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: ​(3​,5) and ​(7​,1)    substitute values:

m= 1 –5 / 7 –3  becomes  m= –4/4   so the slope, m = –4/4

That is –1  The "1" is "understood," so only the negative sign represents the slope  in the equation

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

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What is the equivalent ratio of 9 to 12? <br>​
liraira [26]

Answer:

3:4

Step-by-step explanation:

divide 9 by 3 and 12 by 3

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Inez and Joel work at a store that sells
faltersainse [42]

Answer:

2 hrs and 32 mins

Step-by-step explanation:

Step 1. Because Inez worked more we are going to start by subtracting the the minutes. 23-51= -28.

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Step 3. Because we can't have negative numbers, we need to subtract some more. 60-28= 32. Now I know that my minutes will be 32.

Step 4. But because we used a negative number we have to subtract another hour from our time.

Answer: 2 hrs and 32 mins

Hope this helps!

7 0
3 years ago
Who can help me with this :)
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2 years ago
Help need now please
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candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40
photoshop1234 [79]

The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume the separate weights of each type of candies to be represented by variables.

Let we have:

  • x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.
  • y = weight (in pounds)  of second type of candy whose cost is 46 cents per pound.

x pounds of first type of candy is mixed with y pounds of second candy.

The weight of the mixture = x + y = 50 pounds

The cost of the mixture = 40 cents per pound  = 40 \times 50 = 2000 cents

Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = 31x + 46y
Thus, we get 31x + 46y =2000

Therefore, we got a system of two linear equations as:

x +y = 50\\31x + 46y =2000

From first equation, we get:

x = 50 -y

Substituting this value in second equation, we get:

31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30

Putting this value of y in equation for x, we get:

x = 50-y = 50-30 = 20

Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

Learn more about solving system of linear equations here:

brainly.com/question/13722693

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2 years ago
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