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OverLord2011 [107]
3 years ago
10

Give two points with integer coordinates that have a slope of 10/7 between them

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

(0,0) and (7,10)

Step-by-step explanation:

recall that the slope - intercept  form of a linear equation can be given as

y = mx + b

where m = slope and b = y intercept

in our case, we are given that slope, m = 10/7, hence our equation becomes

y = (10/7) x + b

since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.

We pick b = 0, hence the equation simplifies to:

y = (10/7) x  ----- eq 1

we can see immediately that if x = 0, y must also = 0

proof if x = 0:

y = (10/7)(0) =0

since 0 is an integer, then (0,0) must be the first point.

we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:

y = (10/7) x 7

y = 10

hence (7,10) is the second point.

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Answer: C) 5

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x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

-------------------

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

6 0
3 years ago
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2 years ago
Share 60 in the ratio 5 7
nignag [31]
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7 0
3 years ago
Please help me with this. It needs to be done soon, so I’d appreciate anyone who answers this.
creativ13 [48]

Answer:

A. 4 1/2 ==+ 3

B. 2 + 4

C. 1/2 + 1/2

D. 2 1/2 + 1

E. 4 1/2 + 2

Step-by-step explanation:

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8 0
2 years ago
How many solutions does 3x = 2x + 4 have
Sloan [31]

Answer:

One Solution: x = 4

Step-by-step explanation:

Step 1:

3x = 2x + 4            Equation

Step 2:

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Answer:

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6 0
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