Transform the equation 3x+4y+12=0 into i) slope intercept form ii) normal form

Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.…

A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

Q: What is the equation of a line parallel to 킹 =Dz+ 2 that passes through (1, 2)?

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Q: What are the equation of line passing through (-1,3) that is tangent to the curve x^2 + 4y^2 – 4x –…

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Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

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Q: aber of linearly 1 is

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Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

Q: write an equation for the tangent line. xy= -100,- (10,-10) %3D

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Q: Find equations of all lines having slope - 1 that are tangent to the curve

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Q: The equation of the tangent line to the circle x^2 + y^2 = 36 at the point (5, square root 11) is…

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Q: Find the distance between the lines 3x+y-12=0 and 3x+y-4=0

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Q: Find the slope and y-intercept of the line through the point (9,5) that cuts off the least area from…

A: Equation of line : Y - y = m(X-x) If this passes through point(9,5) Y-5 = m(X-9) Y = m(X-9)+5 X…

Q: Find equations of both lines through the point (2, - 3) that are tangent to the parabola y = x2  + x…

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Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is parallel to the line y…

A: Given curve is y=2x3-3x2-12x+20 Given line is y=2-12x=-12x+2  Slope of the given line is -12.…

Q: Find the distance between the points (-3,0) and (3,1)

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Q: ie point where x (-)- %3D

A: Maxima and minima: f(x)=x2+kxWe should find the value of f'(x) Then we calculate the value of x for…

Q: Find equations of both lines through the point (5, –6) that are tangent to the parabola y = x2 – 3x

A: topic - equation of tangent to curve

Q: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

Q: Defermine the equation of the line in standard form passing through the point (-2, 1) and paralel to…

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Q: Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 + x.…

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Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input…

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Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

A: We will solve the problem

Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

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Q: The line passes through the point (-1, 4, -5) and is parallel to v = 2i – j. %3D

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Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Give parametric equations that generate the line with slope -2 passing through (1, 3).

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 6. parallel to y%3D through (-3, 6)

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Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

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Q: 9. at the point (-2,1) Find the equation of the line tangent to y = 2x2 + 1

A: We will find the equation of the line tangent in the following step.

Q: (5,3) slope=4 in slope intercept form

A: Explanation of the solution is given below...

Q: Find the distance between point (5,-1) and line x=3y-12.

A: Given: The point (5, -1) and the line  x = 3y -12. To find: The distance between the given point and…

Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: Find equations of both lines through the point (-2,-18) that are tangent to the parabola y = x² + 3x

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Q: Find the curve in the xy-plane that passes through the point (4,8) and whose slope at each point is…

A: The curve in the xy-plane that passes through the point (4 , 8 ). Slope at each point is 3√x . We…

Q: Find the equation of a line perpendicular to 4x+5y=3 that conatins the point (5,5). (write the…

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Q: Find the distance between the points (2, −1, 3) and (1, 0, −2).

A: To find the distance between the points (2, −1, 3) and (1, 0, −2).

Q: What is the image of (0, -8) after a reflection over the line y = x?

A: The reflection of the point (x,y) over the line y=x is the point (y,x).

Q: Write down equation of the line in space passing through the points Po(1,0,0) and P (0, 1, 1).

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Q: Find the equation of line pass through the origin and parallel the line with equation y 2.

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Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Find the distance between the points (-1,2) and (1,-1)

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Q: Find the distance from the point (-2, 1, 4) to the plane x = 3

A: Given: The point -2,1,4 and plane x=3 To find: Distance from the given point to the given plane.

Q: Find the slope and y-intercept of the line through the point (2,7) that cuts off the least area from…

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Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

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Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

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Q: At point (1,y), what is y?

A: Note:- If two points is given in Cartesian form like  (2,5)  Then  x=2 and y=5 Means first one is…

Q: What is the slope of AC in right triangle ABC shown in the standard (x, y) coordinate plane above?

A: Given,         A right triangle ABC is shown below :