Find the equation of the curve whose slope is given by 8 1 + x2 and the curve passes through the point (4, 3).

Q: Find an equation of the line through the point (1, –2) with slope –5.

A: Given: Line passing through the point (1, -2) and slope of line is -5

Q: Find the equation of the line that contains the point whose coordinates are (0, 0) and has slope 4/7

A: Consider the general equation of the straight line with m as slope and c as y-intercept.

Q: What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes…

A: The basic concept Used in this question is that the product of two perpendicular lines is equal to…

Q: Find the slope intercept form of the equation of the line perpendicular to the x-axis passing…

A: GIvenequation of line perpendicular to x-axis and passing through point(-1,4) To find slope…

Q: Find the equation of the line that contains the point (−3, 5) and has slope 2.

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Q: If the x-intercept is (3,0 and the y-intercept is (0, -2), then what is the slope?

A: Given : x - intercept is 3, 0y-intercept is 0, -2     To find the slope.

Q: Find the slope of the graph of y = (4 - x)5 at x = 5.

A: Find the slope of the graph of y = (4 - x)5 at x = 5

Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis

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Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

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Q: A hot air balloon is hovering 84 meters above the ground and begins to ascend at a rate of 9 meters…

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Q: What is the equation of the line that passes through the point (5, 1) and has a slope of 1?

A: We have to find the equation of line that passes through the point 5, 1 and has a slope of 1. We…

Q: |Find the equation of the line passing through the point (-1,-4) and having m =-3/2 with x-axis.

A: To find the equation of line passing through the given points.

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 the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

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Q: Find an equation of the curve that passes through the point and has the given slope. (Enter your…

A: Solve for the equation

Q: Find the equation of the line with slope 2 that goes through the point (6,4). Answer using…

A: A line is completely determined if two points on the line are given. The two points can be used to…

Q: Find the slope-intercept form of the equation of the line that has a slope of 2 and passes through…

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Q: Find an equation in point- slope form that passes through (1,-2) and has slope -3.

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Q: What is the equation of the line that passes through the point (2, –6) and has a slope of –1?

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Q: Find the equation of the curve whose slope at any point X-2 3-y and passes through (-1, 1

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Q: What is the equation of the line that passes through the point (–7, –1) and has a slope of 1?

A: We have to write the equation of line that passes through the point (-7 , -1) and has a slope of 1…

Q: Which equation, in point-slope form, passes through (3, –1) and has a slope of 2?

A:

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

A: Given line,   y = 2x + 1 slope-intercept form, y = mx + c slope of the given line, m1 = 2 A line…

Q: Find the equation of the curve whose slope at any point is y+2x

A: We have, the slope of the curve at any point is y+2x. dydx=y+2xdydx+-1y=2x        ⋯⋯1 Clearly, it is…

Q: Find an equation in slope intercept form that passes through the point (5,12) and has an x intercept…

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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 is the equation of the line that passes through the point (-7,4) and has a slope of o?

A:

Q: Find an equation in point-slope form that passes through the point (-7,12) and is perpendicular to…

A: To find the equation passes through the point (-7, 12) and perpendicular to 5x-2y =17.

Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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Q: Find the equation of the curve for which y"= 4x³ - 2x and which passes through the point (1, 2) with…

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Q: What is the equation of the curve that passes through the point (-2,3) and whose slope function is…

A: In this question, we need to find the equation of curve from the given options.

Q: 3. 2x − y = 4 at point (0,−4)

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Q: Find the slope of the line passing through the point (4,10) and perpendicular to the x+2y=5 line and…

A:

Q: Find the slope of the curve defined by the equation x²y – 8 = 0 at the point (2, 2)?

A: The required slope of the given curve can be found as below

Q: Find the equation of the vertical line at an x coordinate of -3

A:

Q: What is the equation of the line that passes through the point (4, 4) and has a slope of 3?

A: It is given that the slope of the line passing through the point 4,4 is 3. The slope-point form of…

Q: Find an equation in point-slope form that passes through the point (-7, 12) and is perpendicular to…

A:

Q: Find the slope-intercept form from the line perpendicular to  2x -3y= -6  and passing  through  (4,…

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Q: 2x +4y = 2.

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Q: Determine the slope of 3(x2+y2)2=100xy at the point (3,1)

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Q: Find the equation of the curve whose slope is – x/1 – x²and that passes through (0,7).

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Q: Find an equation for the line that passes through the point (2, -5) and (a) has slope -3

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Q: Find the equation of the line in slope intercept form perpendicular to 3æ – 3y = - 4 and goes…

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Q: What is the equation of the line that passes through the point (5,1) and has a slope of 1?

A: Given slope of line is m=1

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 curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

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Q: Find an equation for the line that passes through the point (2, –5) and has a slope of –3.

A: Line passes through the point 2, -5 with slope -3.

Q: Find the slope of x-intercept of teh graph of the equation. 6x - y = 6

A:

Q: Find the slope of x²y=8 at the point (2,2).

A: Given: x2y=8 To find: Slope of x2y=8 at (2,2)

Q: Find the equation of the line in slope intercept form perpendicular to 6x – by = - 3 and goes…

A: Here we have to find the equation of the line in slope intercepts form perpendicular to 6x-6y=-3 and…