The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the values of m and c.

Q: The slope of the line that is parallel to 7x – y – 1 = 6 is m = Find the y-intercept of the line…

A: Given line is 7x-y-1=6. Given line can be rewritten as: 7x-y-1=6y=7x-1-6y=7x-7 Given line is in the…

Q: The equation of a line of passage to the point (3,3) and is parallel to the line y=1/2x+2 is?

A:

Q: find the distance from the point (2,5) to the line y=2x.

A: Refer  to the question,The distance from a point to the line is the shortest distance between the…

Q: Find the point on the line y=x that is closest to the point (3, -1)    The point is (___ , ____)

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Q: The equation of the line of passage to the point (2,-2) and is perpendicular to the line y=1/2x+7…

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Q: What equation is perpendicular to the line y = -2x + 3 through the point (0,2)?

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Q: Find the point on the line x/a + y/b =1  that is closest to the origin. Be sure to enter it as an…

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Q: Suppose there is a straight line from z1 0 to z2 = 2+ 4i . You know that the equation of a straight…

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Q: Which of the following lines is perpendicular to the line   y  =  1/2x + 1   and contains the…

A: Consider the given line y=12x+1                                … 1

Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Find the general equation Ax + By = C for the line with slope m y-intercept - 2. and

A: Given:General equation Ax+By=Cslope m=-23y-intercept  -2Equation:y=mx+b

Q: Find the equation of the line containing the point (6, 1) and perpendicular to the line y =-5x+2. 1…

A: Answer is mentioned below

Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: Find x²z ds, where C is the line segment from (0,-5,4) to (2,-7,8)

A: C is line segment from (0,-5,4) to (2,-7,8). parametric equations of C are: r(t)⇀=(1-t)r0⇀+tr1⇀  ,…

Q: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

Q: The slope of the line tangent to the graph of 3x +5In y 12 at (2, 1) is 12 (A) 12 (B) 5. (C) 12 4.

A: Given that 3x2+5lny=12To find : Slope of the tangent line at point 2,1Solution :

Q: The distance of the line 7x + y –5 = 0 from the origin is?

A:

Q: write down the equation of the pair of straight lines joining the origin to the points of…

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Q: Find the equation of the line that intersects the lines 2x + y – 1= 0 = x – 2y + 3z 3x – y + z + 2 =…

A: We have to find the equation of the line that intersects the given lines and parallel to the line…

Q: Find the equation of the line that 2 is perpendicular to y = -x and 3. contains the point (4,-8). […

A: Use the concept:        The equation of line contains the point (x1 , y1 ) and perpendicular to line…

Q: The distance from the point (2,1) to the line  4x-3y+5=0 is

A:

Q: Find the distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

Q: Find the distance between two parallel lines y = 2/3x +7 and -2x+3y=12

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Q: Find the equation of the line containing the point (3, 4) and parallel to the line 2x+ y=-3. 11 A. y…

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Q: Find the line L passes through the point (-2.2) and perpendicular to the line L': 2r+y 4.

A: Given : The line L passes through the point -2,2

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

A:

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: Find the value of x for which line a is parallel to line b.

A: It is given that,  line a and b are parallel lines,

Q: find the line that is perpendicular to 4x-7y=10 and goes to through the point (-1,2)

A: Let y be the required line.Given that, the line that is perpendicular to 4x − 7y = 10.Write 4x − 7y…

Q: Find the point on the line y = 3x + 2 that is closest to the origin. (х, у) %3D

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Q: Give the equation of the line passing through the point (12, – 16) that is perpendicular to 6 y =…

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Q: + y = 9 that is closest to the point (−5,

A: The line is: 6x+y=9 Point (-5,3)

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: Find equations for the followingineF - The line through y and parallel to Z-axis

A: To find the equation of the line that passes through 1, 1, 1 and parallel to the z‐axis.

Q: Find the equation of the line that 2 is perpendicular to y = -x and contains the point (4,-8). %3D 3

A: If two lines are perpendicular then the product of their slopes is -1. The required line is…

Q: Find the equation of a line passing through the point (-2,3) and is perpendicular to t line x-}y+4 =…

A:

Q: Find the equation of the line L2, pass through the point (2,-1) that is parallel to the line L1…

A: The line L2 pass through the point 2,-1 that is parallel to the line L1: 2x+4y=12

Q: Find the point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7…

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Q: For what values of a and b is the line 4x+y=b4x+y=b tangent to the curve y=ax3y=ax3 when x=5x=5? a=…

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Q: 45. Parallel to -3x + 4y = 12, passing through (-4, – 6)

A: The line is parallel to -3x+4y=12, passing through -4,-6

Q: Find the equation of the line passing through the point (4,5) and perpendicular to the line 3y=7-4x…

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Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

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Q: Determine the value of A so that the line whose equation is Ax+y−7=0 is perpendicular to the line…

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Q: the

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Q: Is it true or false that the equation the distance from the point A(1,2, 6) to the line x + y + 2z =…

A: The line is l:l:x+y+2z=62x-y+z=9 and the point is 1,2,6

Q: Suppose that the elevation on a hill is given by flx, y) = 200 – 4,² – 5. From the site at (4, 2),…

A: Given query is to find the direction of the rain's run off.

Q: What is perpendicular to the line x/2+y/4=1

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Q: Find an equation of the line satisfying the following conditions. Through point (1, –5);…

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Q: If ax +2hxy+by 0 represents two straight lines such that the slope of one %3D line is twice the…

A: We have to prove that

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.