Find the point on the line y = 2x + 8 that is closest to the origin.

Q: find the equation for the line perpendicular to y= 2x-5 that goes through the point (1,7).

A: Given : line y = 2x - 5 Point (1,7)   To find : Equation of the line which is perpendicular to the…

Q: Find the equation of the line passing through P(0,5) and parallel to the line 2x+y=3.

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Q: Find the slope of the curve y =x' – 2x at the point P(2,-2). .3 4

A: Given the equation of the curve,                                           y=14x3 - 2x and the point…

Q: Find the x-intercept of the line y=mx+b

A: To determine the x-intercept, we set y equal to zero and solve for x.

Q: Find the equation of line whose x - intercept is 2 and y - intercept is 3. O 3x + 2y = 6 O 2x + 3y -…

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Q: Find an equation for the line which passes through the origin and is perpendicular to  2x + 3y = -2

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Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: Choose the equation of a line that is perpendicular to the r-axis and passes through the point…

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Q: Find the slope of the curve y = 2x* + 3x + 2x? - 1 at a point where it crosses the x-axis

A: The point where y crosses x-axis the value for y is 0. Find the value for x for which y = 0.…

Q: Find an equation for the line perpendicular to the line 8x−6y=-2 having the same y-intercept as…

A: Find the equation of line perpendicular to line 1:and y-intercept is same as line 2.

Q: find an equation of a line that passes through the point (-1,8) and is parralel to 3x+4(y-1)=3 and…

A: Line 1 is given as,

Q: Give the slope and the yy intercept of the line  −6x−8y= −1

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Q: Find the points of intersection of the curves y = 5x2 - 3x - 2 and y = 2x - 1.

A: We have the equation of curves as y=5x2-3x-2            ⋯⋯1y=2x-1                      ⋯⋯2

Q: Give the coordinates of X-intercept for the line Y = 2(x – 1) + 7.

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Q: Find an equation of the line perpendicular to 3x - 2y = 7 that contains the point (1, 5).

A: we have to find the equation of the line perpendicular to 3x-2y=7 that contain the point (1,5).

Q: the y-intercept of the line y=3x+5 is the point (5.0) true or false

A: y- intercept of a line

Q: Find the standard form for the equation of the line which passes through the point (2,0) and which…

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Q: Find the equation of a line with an x-intercept (2,0) and a y-intercept (0,3).

A: We have to find the equation  of line.

Q: Perpendicular to the line 3x - y =-4; containing the point (–2,4)

A: 3x-y=-4 y=3x+4 here coefficient of x is 3 so the slope of the given line is m=3 and the given line…

Q: Find the equation of line whosex- intercept is 2 and y- intercept is 3. O 3x + 2y + 6 =0 O 2x + 3y-…

A: The line has x-intercept is 2 and y-intercept is 3.

Q: Find the general equation of the straight line that intercepts the x-axis at 2 and the y-axis at -6.

A: on solving this we get

Q: Find an equation of the line perpendicular to 3x - 2y = 7that contains the point 11, 52.

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Q: Determine the equation of the line in explicit form y=mx+b passing through the two points (-2,3) and…

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Q: Find the point of intersection of the lines x + 2y = 8 and 3x — y = 3

A: You use one equation to express one of the variables in terms of the other. Then you substitute that…

Q: Find the y intercept of the line: X+2y-1=0

A: Given line is x + 2y - 1 = 0

Q: find the slope of the curve at the point indicated y = x3 - 2x + 7, x = -2

A: Slope of the curve is determined by taking the derivative of the given function:   The given…

Q: What point on the line y=2x-5 is closest to the origin?

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Q: The line y = 5x + 4 has a y intercept of _________

A: The line y = 5x + 4 has a y intercept of _________

Q: Find the point when the line y=-3x+8 that is closest to the origin.

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Q: Find the equation of the line that passes through the point (–3, 2) and is perpendicular to the line…

A: We have to find the equation of a line that passes through the point -3,2 and is perpendicular to…

Q: find the slope of the curve x^2+y^2-6x-4y-21=0 at (0,7)

A: Given curve  x2+y2-6x-4y-21=0we find slope at (0,7)

Q: Find the equation of the line bisecting the acute angles formed between the lines x + 7y – 6 = 0 and…

A: The general equation of a straight line is y=mx+c, where m is the gradient, and y=c is the value…

Q: Find the x- and y- intercepts (a,b) of the line L: x- 2y = -4

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Q: Find the y intercept of the line by substituting 0 in for x and solving for y. Y=-2X+12

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Q: Find the equation of a line parallel to y=−4x+3 that contains the point (3,−3).

A: We know that parallel lines have the same slope and equation of line parallel to the line y=mx+c is…

Q: the

A: We will find the point.

Q: Perpendicular to the line y = 2x - 3; containing the point (1, –2)

A: Equation of a line passing through the point (a, b) and slope m is y-b=m(x-a)

Q: Find the point on the line whose equation is 2x + y - 2 = 0  that is closest to the origin.

A: we have to find the point on the line whose equation is 2x+y-2 = 0  that is closest to the origin.

Q: Find the equation of a line that intersects the curve y = x² + 14x + 52 at x = -10 and is parallel…

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

A: We have to use distance formula to solve the question

Q: Find the equation of the line passing through the point (-1, -2) and perpendicular to the line y =…

A:

Q: Give the equation of the line perpendicular to Y=-4x+2 that has an x-intercept of -1

A: First find slope of perpendicular line then use equation of line

Q: Write the equation of the line parallel to y= 3/2x+3  that passes through the point(−6,1).

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Q: Find the equation of the line that passes through the points of intersection of the curves y^2 = x…

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Q: Find the point on the line y = 3x-1 closest to the point (-1, 1)

A: Line is y=3x-1 and the point is -1, 1. Let x, y=x, 3x-1 be the point on the line y=3x-1 that is…

Q: Find the equation to the line below. Ħ y = -²x + [ ] X

A: The equation of the line passing through points (x1,y1) & (x2,y2) is: y-y0y1-y0=x-x0x1-x0

Q: Find the equation of the line that is perpendicular to y = 6x – 2 and %3D

A: To find the equation of line perpendicular to given line.

Q: Find the equation of the line passing through the point (- 3,1,4 ) and parallel to the z-axis

A: here is parallel to z axis  means direction point are (0,0,1) line equation is (x-a)/0 =(y-b)/0…