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Tatiana [17]
4 years ago
9

What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Mathematics
1 answer:
Andreas93 [3]4 years ago
7 0
<h2>Greetings!</h2>

Answer:

y = 7x + 1

Step-by-step explanation:

If the slope and coordinates have already been given, you can plug the values into the following equation of a line:

y - y1 = m(x - x1)

Where y1 is the y coordinate, so in this case 8,

x1 is the x coordinate which is 1

m is the slope, so 7:

y - 8 = 7(x - 1)

Expand the brackets:

y - 8 = 7x - 7

To isolate the y, we need to move the -8 over to the other side making it a positive 8:

y = 7x - 7 + 8

y = 7x + 1

So the equation of the line is y = 7x + 1


<h2>Hope this helps!</h2>
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At what root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x axis?
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Find two numbers such that their product, sum and difference are in the ratio 5:4:1'
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Answer:

3 1/3 and 2

Step-by-step explanation:

Let the numbers be x and y  and let z be the constant of proportion. Then

xy = 5z  ...............(1)

x + y = 4z ...........(2)

x - y = z ..............(3)     Adding (2) and (3)

2x = 5z

x = 5z/2   ................(4)

Substituting for x in equation 1:

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Substituting for  y in equations (2) and (3):

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