Answer:
y = -2.8x +69.4
Step-by-step explanation:
The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...
y = (y2-y1)/(x2-x1)·(x -x1) +y1
For the given points, this is ...
y = (33 -61)/(13 -3)·(x -3) +61
y = -28/10(x -3) +61
y = -2.8x +69.4 . . . . . the equation of the line through the given points
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<em>Comment on the problem</em>
A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.
Answer:
c
Step-by-step explanation:
Given the 2 equations
x + y = 3 → (1)
3x - y = 1 → (2)
Adding the 2 equations term by term will eliminate the term in y
4x = 4 ( divide both sides by 4)
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
1 + y = 3 ( subtract 1 from both sides )
y = 2
Solution is (1, 2 ) → c
Answer:
Step-by-step explanation:
hello :
Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6
the vertex is : (2 , -6)
now calculate the solutions : (x-2)²-6 =0
(x-2)²= 6 means : x-2 =√6 or x-2 = -√6
x = 2+√6 or x = 2-√6
Answer:
Step-by-step explanation:
When 
, the variable 
will be removed from the equation (
). Therefore, we are left with 
. Thus, when , the given equation has no solutions.
