Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of
words on one page? y = –55x + 407 y = –41x + 814 y = –38x + 922 y = –26x + 723
2 answers:
The table containing the data needed for this problem is attached on this answer. This data is used to determine the best fit line that is extracted from this multitude of points given. Best fit line is described as a line in which the variation of each point to the line is the minimum. We plot the data using MS Excel and is shown in the figure attached as well. We determine the trendline of the graph by the function in MS Excel. The equation of the trendline is expressed as <span>y = -26.059x + 722.63 in which the coefficient of determination, r^2 = 0.8947. </span>
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<u><em>Answer:</em></u>
y^2 = 28x
<em><u>Step-by-step explanation:</u></em>
Since the directrix is horizontal, use the equation of a parabola that opens left or right.
(y−k)^2 = 4p(x−h)
Find the vertex.
(0,0)
Find the distance from the focus to the vertex.
p = 7
Substitute in the known values for the variables into the equation
(y−k)^2 = 4p(x−h).
(y−0)^2 = 4(7)(x−0)
Simplify.
<em>y^2 = 28x</em>
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
In this case we have the following equation of the line:
Where:
By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have an equation of the form:
Substitute the given pointto find "b":
Finally, the equation of the requested line is:
Answer: