Find the y-intercept of a line passing through point (2,0) and with a slope of m= -5/4

Q: What is the slope of the line tangent to the curve 4y² +xy – 2x2 = 3 at the point (-1,–1)? -5 (B) 4

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Q: Determine the slope of the curve y =1/x+1 at point (−2,−1).

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Q: Differentiate implicitly to find the slope of the curve at the given point. xy3-x5y2=-4; (-1,2)

A: Given:- xy3 -x5 y2 =-4  To find:- slope of tangent at point (-1, 2)

Q: At what point on the curve x = 3t2 + 5, y = t3 - 5 does the tangent line have slope ? (х, у) %3

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Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Differentiate implicitly to find the slope of the curve at the given point. x^2+y^2=1; (2,3)

A: The given curve is

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: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

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Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

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Q: Find the coordinates of the points on the curve y = x³ - 6x² + 14x – 12 at which the tangents have a…

A: We will differentiate with respect to x and equate the same to 5 and find the points.

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: Find the point on the graph of y = 3x2 − 2x + 5 where the tangent line is perpendicular to the line…

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Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: this is a precalculus question

A: The initial height of the balloon is 131 meters. The balloon begins to ascend at a rate of 14 meters…

Q: Find the equation of the lines tangent to the curve x2 + y2 = 4 and parallel to the y-axis ?

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Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

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Q: find the slope of the curve at the point indicated y = 1/x - 1, x = 3

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Q: A hot air ballon is hovering 83 meters above the ground and begins to assend at a rate of 9 meters…

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Q: Find the equation of the line perpendicular to the liney = 2x + 1 and containing the point (3, 5).…

A: Equation of given line is,y=2x+1, comparing it with standard equation of line in slope intercept…

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y = dy…

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Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the equation of the langents to the graph y-x3 3x2-15x-20 at the points of the graph where the…

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Q: Differentiate implicitly to find the slope of the curve at the given point. y3 + yx2 + x2 - 3y2 = 0;…

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Q: Find the eqaution of the curve that passes through (0,1) if its slope is given by y'=1/2X at any…

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Q: Find the slope of the curve at the given point: 1. ( X+2y)^2 =x+10 at (-1, 2)

A: Here I am attaching image so that you understand each and every step. slope of the curve given at…

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 slope of the curve at the point where 0 = 4

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Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

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Q: Find the slope of a line tangent to the curve y = 15x- 5x at x = 1

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Q: At which points on the curve  y = 1 + 40x3 − 3x5  does the tangent line have the largest slope?

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Q: find the slope of the curve at the point indicated y = x - 1/x + 1, x = 0

A: Given, y=x-1x+1 and the point x = 0

Q: Find an equation of the curve that passes through the point (8, 2), and has the given slope y′ =…

A: Solution:-We have to find an equation of the curve that passes through  the point (8,2) and having…

Q: What is the slope of the line tangent to the curve y = x4 – 8x3 + 22x2 – 24x + 9 at x = 1?

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

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Q: What is the slope of the curve y = 1 + x^2 at the point y = 10?

A: We will solve the following

Q: Find the slope of the tangent line to the curve y 3x-8x + 7 at the point (-1,2). -3 3. -4 4

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Q: Determine the slope-intercept equation of the line tangent to the graph of y = 4x^2 - 7x + 1 at x =…

A: y=4x2-7x+1 We need to Determine the slope-intercept equation of the line tangent to the graph of the…

Q: At which points on the curve y =1 +40x3  -3x5 does thetangent line have the largest slope?

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Q: Find an equation of the line that passes through the point (5, 4) and has a slope m of 0.

A: A line with slope 0 is parallel to the horizontal axis.

Q: find the slope of the line tangent tothe graph of ƒ(x) = -5x + 1 at the point (1, -4).

A: We have to find slope of tangent line to the graph of fx=-5x+1 at the point 1, -4. We know that…

Q: Find the equation of the family of curves whose slope at any point (x, y) is 2. y 4. equal to the…

A: We need to find the family of curves. NOTE - As per our guidelines we can not solve multiple…

Q: Find the equation of the family of curve whose slope at any point (x,y) is 3x^2+4

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Q: The slope of curve is given as (2x + b + ) and has a value of 17 2x3 at x = 2. What is the value 16…

A: Topic   = Integartion

Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.

Q: What is the slope of the line tangent to the graph of y=[9x^2]/[x+2] at x=1?

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Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1