Choose the formula for finding the slope m of a nonverticalline that contains the two distinct points (x1, y1) and (x2, y2).(a) m = (y2 - x2) / (y1 - x1)  x1 ≠ y1(b) m = (y2 - x1) / (x2 - y1)  y1 ≠ x2(c) m = (x2 - x1)  / (y2 - y1)  y1 ≠ y2(d) m = (y2 - y1) / (x2 - x1)  x1 ≠ x2

Q: If j 1k and line j has slope , then k has slope

A: Given:j⊥k Slope of j =23Slope of k=?Perpendicular slope:m1×m2 =-1

Q: raction of the lines 3y - x=2, 2y-5x

A: Given:- 3y - x=2, 2y-5x=7  and  y - 2x=7 To find the equation of the line passing through the point…

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: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: Determine whether there exists a constant c such that the line x+cy=4x Has slope 4:  Passes…

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Q: Find the intersection point of the line l.x=-1. y = - 3 + t z = 4 + 2t with xx - 1 .

A: In xz plane value of y = 0.

Q: Estimate the slope of the graph at the points (x1, Y1) and (x2, y2). At (x1, Y1), slope = At (x2,…

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Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of y/x2 at any…

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Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: (a) Show that the lines 2x − y = 5 and 6x − 2y = 12 are not parallel. slope of 2x − y = 5     m1 =…

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Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

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Q: (b) Estimate the slope of the graph at points (x1, Y1) and (x2, y2). (x1, Y1) (X2, Y2) 4- x1, y1) -4…

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Q: 2. Work out the gradient of the line passing through the points (3, 2) and (7, 20).

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Q: 3. Find the point (x1, x2) that lies on the line x1 + 5x2 = 7 and -2. See the figure. X1– 2x2 = -2…

A: Common point on two lines.

Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

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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 thepoint (9, 4) and whose slope at…

Q: 7. By definition find the slope of curve y = x2 – 2x – 3, at P(2, 3).

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Q: 1. Find the slope and y-intercept of the line that is parallel to 2x +3y 5 and passes through the…

A: Given : A line which is parallel to the line 2x+3y = 5 and passing through point (1,-1)

Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: Estimate the slope of the graph at the points (x,, y,) and (xɔ, y2). At (x, Y1), slope At (x2, Y2),…

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Q: equation of the curve that passes through the point (0, 6) and whose slope at (x, y) is x/y.

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Q: The equation of the curve passing through the point (2, 3) and having slope 6x^2 - 8x + 1 at every…

A: Solution is given below:

Q: А(-1,6)%; х-intercept 5

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Q: Estimate the slope of the graph at the points (x,, y,) and (x2, Y,). At (x,, Y1), slope = At (x2,…

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Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

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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 y such that (3, y) lies on the line of slope m = 2 through ( 1, 4).

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Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: Given that a line passes through (x1, y1) and has a slope m

Q: Estimate the slope of the graph at the points (x1, Y1) and (X2, Y2). At (x1, Y1), slope %3D At (x2,…

A: For slope 1 from the above graph observe the line on x1,y1 which is located so, the observed points…

Q: 1) Find the slope of the linels) tongent to the graph of (y+x)²-y =x² at X=0.

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Q: Compute the equation of the horizontal asymptote of the curve y = (2x- 1)/ (x + 2). y = 2 x = 2 X =…

A: Given; y=2x-1x+2   As we know that; To calculate the horizontal asymptote, solve the limit…

Q: 11. Find an equation of the line passing through the point (6, 5) and perpendicular to the line…

A: We know that slopem of line which is perpendicular to lineax+by=c is given by m=ba…

Q: Choose the formula for finding the slope m of a nonverticalline that contains the two distinct…

A: Choose the formula for finding the slope m of a nonvertical line that contains the two distinct…

Q: 2. Find a general linear equation (ax+by+c=0) of the straight line that has the indicated…

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Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: We will derive this formula using the equation for the slope of a line. let us consider a line whose…

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: We are allowed to solve only first 3 sub parts. kindly repost others. Thank you     Given 1. Passing…

Q: 20. What is the direction of the line passing through the point (1,-2) that has the maximum slope?…

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Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

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Q: perpendicular to the line 2x+ 5y 7 nbR uation of the line (in slope-lntercept form), passing through…

A: Given:     Point: ( 2 , -3 )       Line : 2x + 5y = 7

Q: slope of the tangent to the curve y2x+ y2x2 =6at (2,1) is

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Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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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…

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Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

A:

Q: (a) Show that the lines 3x − 5y + 27 = 0 and 10x + 6y − 46 = 0 are perpendicular. slope of 3x − 5y…

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Q: What is the slope of the curve y= 2 over √x at the point (4,1)

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Q: 4. Find the member of the curve whose slope at any point is 4y point (3, 4) and passes through the

A: Note: As they are different questions, as per our company guidelines we are supposed to answer the…

Q: Find the slope of the curve x3y3 + y2 = x + y at the points (1, 1) and (1, -1).

A: Given,

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.