d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve for which dx2 3 y=3x2 - -x+x+1 2 3 y= 3x2+x3 - x- 1 y=3x² – 6x³ – 2x +1 y= 3x²- x³+ 2x – 1 3 --x+ 2x – 1 2

Q: Find the intersection point of the line 3x – 2y = 0 and the line passing through (-1, 0) and…

A: equation of one line 3x-2y=0 And second line passing through (-1,0) and is vertical (perpendicular)…

Q: Find the equation of the line perpendicular to y=−2y= through the point (3,2)

A:

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

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Q: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: Which equation could represent a graph with x -intercepts of (4, 0) and (-7, 0) ?

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Q: 2 A -3 -1 -1 -2 The midpoint of AB = ([ ? ], [ ])

A:

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: The Line (L2) that pass through point (-2,1) and perpendicular to the Line (L1)=y= 0.5x +2, Fill in…

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

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Q: A line goes through the points (-4,7) and (1, 2). What is the equation of the line? A y = x – 3 By =…

A: In this question first of all we find slope of required line, then solve it further to find out the…

Q: Determine if the following points are on the graph of the equation 2x-y=6 . (a) (2,3) (b)(2, -2)

A: The given equation is 2x-y=6

Q: Find an equation of the line passing through the point (2,1) that is perpendicular to the line…

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Q: Find the point on the graph of the equation y = x³ that is nearest to the point (8,0).

A: Let (x, y) be any point on the curve                y = (1/4)x3. . . . . . (1)  Distance of the…

Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.