1. The equation of a family of straight lines passing through point (2,-1) is

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

Q: The equation showing a family of lines passing through the point (1, -1) is given by

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

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Q: Find the equations of both lines that are tangent to the curve y = x - 3x2 + 3x - 3 and are parallel…

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Q: Perpendicular to the line y=−1/2x+1 containing the point (3,6)

A: Solution is done in step 2

Q: Find an equation of the line that satisfies the given conditions. Through  (1, −1);   parallel to…

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Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: PROBLEM 1 Obtain a DE of the family of straight lines with slope and y-intercept equal. Draw some…

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Q: (10) The equation for line L through the point (1, -3) with slope 1/2 is : O y= 1/2 x+ 7/2 y=1/2 x -…

A: To find: The equation of line passing through the point 1,-3 with slope 12. Concept used:…

Q: What is the equation of line L passing through (-1,3) that is tangent to the curve…

A: Let's Solve, Answer : Option E

Q: 8 What is the slope of the line perpendicular to tne line represented by the equation 2x+4y = 12?…

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Q: what is true about straight lines

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Q: Find an equation of the line that satisfies the given conditions. Through (4, 6);  perpendicular to…

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

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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: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

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

A: Given query is to find the point where tangent line is horizontal.

Q: Find the equation of the line containing the point (5, 1) and perpendicular to the line y=-4x+2. 1 O…

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Q: m=--. Find the equation of line passing through point (1, 2) with slope 4

A: Equation of the line with the slope m and passing through the point (x1,y1) is:

Q: In Problem ,find an equation of the line L.

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Q: 10. Find the equation of the line perpendicular to 3x - 2y = 6 and passing at a distance 5 units…

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Q: 2*Find an equation of the line that satisfies the given conditions. Through  (−5, 5);…

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Q: ) Find the equation of the line normal to the curve x'y+ y'x = 10 at point (1,2).

A: Slope of a normal to the function y=f(x) at point m,n is given by the value of -dxdy at m,n Equation…

Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

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Q: 3 5. Write the equation of the line perpendicular to y =x 1 that contains the point (3, –1).

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Q: 4)Solve for the family of curves of straight lines with y-intercepts thrice as their corresponding…

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

A: To find  The distance from the point to the given line.

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 equation of a line perpendicular to y=−x−1 that contains the point (1,2).

A: We have to find the equation

Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

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Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: What is the value of such that the lines 3kx + 8y = 5 and 6y - 4kx = -1 are perpendicular and 3kx +…

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Q: Find an equation of the line that satisfies the given conditions. Through (−5, 5); perpendicular to…

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Q: a. The curve y=4x-x and the lines y=0, x=1 and x=3.

A: Due to our guidelines we can answer only one question at a time, therefore I am answering first…

Q: 4

A: Note: According to the guidelines of Bartleby we will only solve first question for you. Kindly…

Q: There are two lines passing through the point (5,-1) that are tangent to the parabola y=-x^(2)+4x.…

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Q: What is the distance between the line with Cartesian equation x-4=y-4=z and the line with Cartesian…

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Q: 19. What is the equation in slope-intercept form for the line parallel to y = -3x + 9 that contains…

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Q: 3. The equation showing a family of lines passing through the point (1, -1) is given by * у%3D тх —…

A: Given a point(1,-1). We need to find the equation of  a line passing through the given point.

Q: 8. Find the equation of the line passing through the point (4, 5) and perpendicular to the line 3y =…

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Q: Choose the equation of the horizontal line that passes through the point (2, 3). x = 2 Ox= 3 Oy= 2…

A: The horizontal line passing through the point (2, 3) The horizontal line has the equation y = b if…

Q: 14) Identify the point slope form of the line below. A) y - 3-+ 1) B) y+3-1) C) y+3=-+1) y-3D E) y -…

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Q: The pair of lines defined by the equations y=x-11 and y=- x-11 are parallel to each other.…

A: We can solve this problem as follows:

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: Which of the following lines is perpendicular to a line with equation y=--x-6 and passes through the…

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Q: 1. Find the slope of the line passing through the points (-3, 6) and (9, –3). 1 4 O 3 -- 4 1 2 3 2.…

A: Slope of the line = changes in y/ changes in x.

Q: 2) 3 Consider the line y = -x + 5. Write the equation of the line perpendicular to the given line…

A: Now comparing this line with y = mx+c, we get

Q: snip

A: Given- Consider a line has a slope 32. To prove- That the slope of the line prependicular to the…

Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…