What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decima
l places.
A. y = 1.383x + 1.526
B. y= -1.526x - 1.383
c. y = 1.383x - 1.526
D. y = -1.526x + 1383
A. y = 1.383x + 1.526
B. y= -1.526x - 1.383
c. y = 1.383x - 1.526
D. y = -1.526x + 1383
2 answers:
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The slope = 17/8, while as the y - intercept = -5. The graph shown below will help give you a better understanding of what I'm saying.
For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a + k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a+k
7 = a + k
Similarly,
-2 = a + k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
#SPJ1