Estimate the line of best fit using two points on the line.
2 answers:
Answer:
A. y = x + 12
Step-by-step explanation:
Given the two points:
A = (x1, y1) = (6, 8)
B = (x2, y2) = (9. 6)
From the photo, we can see that the line of fest fit is a straight line (linear) that go through the two points above.
We have the standard form of a linear equation is:
- y = mx + b
where m is the slope and b is the y-intercept
To find the slope, we use the following formula:
m =
<=> m = =
Substitute m into the standard equation, we have:
- y =
+ b (1)
Because the line go through point A, so we substitute A into (1), we have:
8 = *6 + b
<=> b = 12
So our equation is: y = x + 12
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Option E
The sum of all possible values of y is 20
<em><u>Solution:</u></em>
Given that,
6x + 2y = 25
Where, xy > 0
We have to find the sum of all possible values of y if x is a positive integer
We can use values of x = 1, 2, 3, 4
For x = 5 and above, y will be negative
<em><u>Substitute x = 1 in given equation</u></em>
6(1) + 2y = 25
6 + 2y = 25
2y = 25 - 6
2y = 19
Divide both the sides of equation by 2
<em><u>Substitute x = 2 in given equation</u></em>
6(2) + 2y = 25
2y = 25 - 12
2y = 13
Divide both the sides of equation by 2
<em><u>Substitute x = 3 in given equation</u></em>
6(3) + 2y = 25
2y = 25 - 18
2y = 7
Divide both the sides of equation by 2
<u><em>Substitute x = 4 in given equation</em></u>
6(4) + 2y = 25
24 + 2y = 25
2y = 25 - 24
2y = 1
Divide both the sides of equation by 2
<u><em>Now add all the values of "y"</em></u>
Thus sum of all possible values of y is 20