Write A story that could represent This problem 2/6 x 3/4
2 answers:
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<u>Answer:</u>
The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
<u>Solution:</u>
Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)
We have to find the line equation which is perpendicular to above given line and passing through the given point.
Now, let us find the slope of the given line equation.
We know that, <em>product of slopes of perpendicular lines is -1. </em>
So, 1 slope of perpendicular line = -1
slope of perpendicular line = -1
Now let us write point slope form for our required line.
y – (-2) = -1(x – (-3))
y + 2 = -1(x + 3)
y + 2 = -x – 3
x + y + 2 + 3 = 0
x + y + 5 = 0
y = -x -5
Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
The statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4
<h3>What is the line of best fit?</h3>A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
From the data given, we can calculate the correlation coefficient, slope of the line, and y-intercept.
r = 0.90
Since r is close to 1 shows a strong correlation.
Slope of the line of best fit = 437.9
Y-intercept of line of the best fit = 439.4(Refer to the attached picture)
The line will be:
y = 437.9x + 439.4
Thus, the statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4
Learn more about the line of best fit here:
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