Write an equation of the line that passes through a pair of points (-5, -2), (4, 5)

Answers

Answer 1
Answer: Hello!

First of all we need to find the slope. We can use the equation below.

( y_(2)- y_(1)  )/( x_(2) - x_(1) )

The ones and twos just represent a y or x value from one of the ordered pairs, so for example on ordered pair could represent the ones(note that the ones and twos can be switched and the slope will remain the same).

In our case we will have (-5,-2) be (x_(1) ,y_(1)) and (4,5) be (x_(2) ,y_(2)). We will plug this into the equation.

(5+2)/(4+5) = (7)/(9)

Therefore the slope of our line is 7/9.
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Now we need to find the y-intercept to have the equation for our line. We will put the slope and two points from the line into slope intercept form and solve for b (we will use (4,5)).

5=4(7/9)+b
5-b=3 1/9
5+(-b)=3 1/9
-b=-2 1/9
b=2 1/9

Now that we have our value for b we will put it in slope intercept form.

y=7/9x+(2 +1/9)

I hope this helps!



Answer 2
Answer: To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept. 

First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)

Now we simplify 
m = 7 ÷ 9 

Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)

5 = 7/9 · 4 + b

Get b on one side
5 - 28/9 = b

Simplify
b = 1 + 8/9

That makes the equation of the line y = 7/9x + (1 + 8/9)

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Answer:

Triangle

Step-by-step explanation:

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74.823 WHAT IS THE PLACE VALUE OF THE 3?

Answers

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The 8 is tenths
The 2 is one hundredths

If 3b+2-6b=32+5b-2b, find b

Answers

I believe the answer is b= -5

Answer:

b=-5

Step-by-step explanation:

3b+2-6b=32+5b-2b(first you should collect like terms on each side.) so

3b-6b+2=32+5b-2b (lessen thing by both sides.)

-3b+2=32+3b (then you collect terms to one side)

-3b-3b=32-2

-6b=30 (you divide both sides by 6)

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so..b=-5

Phil has 7 quarts of hot chocolate to give to his classmates how many of those classmates can have one cup of hot chocolate

Answers

4 quarts per cup, so 7*4= 28 of his classmates can have one cup.

Box contains 547698 marbles what is the number rounded to the nearest thousand

Answers

The number 7 is in the thousands place. Because the 6 is grater than 4, round the 7 up one to an 8. The answer is 548,000.

Answer:

548,000

Step-by-step explanation:

A rectangular sheet of paper had a width of 841 millimetres.Its area was 1 square metre.
What was its length to the nearest millimetre?

Answers

1 meter = 1000 millimeters

Area = length * width
A = lw

1000 = l * 841
1.19 = l

Length = 1.19 millimeters