Suppose W(8, -2) was transformed across the line y = -x. What is the y coordinate for the image of W?

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

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Q: 15. Find the point on the line y 3x that is closest to the point (50,0).

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Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

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: Find the condition that the line ax+by=1 may be normal to the curve an-1y=xn

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Q: Find an equation of the line that satisfies the given conditions. Throught (2,6); perpendicular to…

A: y=1;(2,6)

Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: Find the equation of the line tangent to Y 3x2 + x + 1 at x = -3. у 3 —17г — 26 O y = 6x – 3 O y =…

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Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x

A: Rule:-equation of line passing thraught (x1,y1) and (x2,y2) is y-y1=y2-y1x2-x1(x-x1)

Q: Find the image of the line x = 1 under (a) flz) = z²

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Q: Draw the line y = 2.x + 1 and its image under reflection in the y-axis.

A: The given line is  y=2x+1 The slope of the line is 2, Y-intercept is 1,0 and X-intercept is -0.5,0.…

Q: The direction field of the DE y' + ye³x+7 = −2y² will have a line segment with positive slope at the…

A: Given y'+ye^(3x+7)=-2y² We know that the dy/dx gives the direction field. Hence the given DE can be…

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

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Q: Is there a relationship between X and Y?

A: If the variables in the study are measured on ordinal scale, then researchers employ Spearman's rho…

Q: The equation of the line tangent to the curve y=3x+4/4x-3 at the point (1,7) is  a) y - 25x=-18 b) y…

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Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: Find an equation of the line L that passes through the point  (−2, 6) and satisfies the given…

A: Given,            The line L that passes through the point (−2, 6).Since, L is perpendicular to the…

Q: Find all points on the graph of 3x 2 + 4 y 2 + 3xy = 24 where the tangent line is horizontal

A: Given:              3x2+4y2+3xy=24 We know the tangent line is horizontal when y'=0 So we want to…

Q: , and mz = X+ 20 A (3x) 20 -2 =180 x+20)° What is the value of x? What is the image of the point…

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Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

A: Given points are: 4,-1 and -2,3 The distance between the points 4,-1 and x,y is: d1=x-42+y+12 The…

Q: Find the distance between the point (−3, 1) and the line 4x + 3y + 4 = 0.

A: Given standard equation of line 4x+3y+4=0 and a point (-3,1)

Q: Find the equation of the line tangent to 3x²y + 4xy2 = 6x² + 5y at the point (1,).

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Q: 3. Find the image of the line y = –2x + 3 under the reflection in the line y = -x.

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Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A: To find the points at which tangent line is horizontal , y' =0.

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: Find the distance from the point P(-1,2,4) to the line given by x=2t y=1+t z=3t

A: Given query is to find the the distance between point and the line

Q: Find the point on the line y = 4x + 3 that is closest to the origin. %3D (x, y) = %3D -

A: Given query is to find the Indicated point .

Q: 3. Find the image of the line y = -2x + 3 under the reflection in the line y = -x.

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Q: Find a point on the line y = 2x 3 that is 5 units from the x axis. %3D

A: The given equation is, y=2x-3

Q: * Let LIEX-54+10=D0 L2=4X+y-1-O be two lines. 1 Show that the lines L and Lz are not parallel.

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Q: Find the relationship between x and y such that the point (x,y) is equidistance from the points…

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Q: The equation of the line that goes through the point (1,1) and is perpendicular to the line 4x+4y=4…

A: Given,           The equation of the line that goes through the point (1,1) and is perpendicular to…

Q: find the equation of the secant lines of y=√x passing through the points: x1=1 and x2=2

A: Secant line for a function between two points on a curve is simply a straight line passing through…

Q: Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two…

A: If the distance from (x,y) to the points (3,2) & (5,-1) are equal, then the squared distance is…

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

A: As a first step we need to find the gradient of the surface and evaluate the same for the point (1,…

Q: Find an equation of the curve that passes through the point (1, −2), and has the given slope y′ =…

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Q: Find the slope of * y+ Vx+ y =x at (3,1)

A: A detailed solution is given below

Q: Suppose ABC is reflected across the line x = -1. What are the coordinates for the image of A?

A: There is no change in y coordinates while taking mirror image across x = k.

Q: The equation of the curve in the tx-plane which passes through the point (2,3), and has, at every…

A: In this question, slope of curve and point is given and we have to find out equation of cuve.

Q: Find the equation of the line normal to x^3 + y^3 = 6xy at (3,3)

A: Given, x3+y3=6xy

Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

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Q: Find the curve y = ƒ(x) in the xy-plane that passes through the point (9, 4) and whose slope at each…

A: Given the curve y = ƒ(x) in the xy-plane that passes through the point (9, 4) and whose slope at…

Q: At what point on the graph of y = (x^2)/2 is the tangent line parallel to the line 2x - 4y = 3? O…

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Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

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Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

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

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Q: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

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Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0.

A: Introduction :

Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

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