8. Find the slope of the line whose equation is given by x+3y-6=D0.

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: find the equation of the specified line with slope 1/4 crossing 3x+y=12 at its x-intercept

A: Find the x-intercept of the line 3x + y = 12. Set y = 0 in 3x + y = 12.                       3x + 0…

Q: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

A:

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: Find the general equation Ax + By = C for the line with slope m = y intercept - 2. - and %3D

A: Given: The slope of the line is -23. The y-intercept is -2.  Formula used: Slope intercept form. The…

Q: Assume 4x3 + 2xy - y3 = 1/2 . What is the slope of the graph at the point(1/2, -1)  ?

A:

Q: What is the equation of the curve whose slope at any point is equal to 1 y x ++ and which passes…

A: The slope of a curve at a point is the slope of the tangent to the curve at that point. The slope of…

Q: 1- Write the slope-intercept equation of the line tangent to the curve at the point (1, 6) 3x - xy +…

A: Given equation is 3x2−xy+4y2=141. We have to write the slope-intersect equation of the line tangent…

Q: +- ++> 6. If the line above is reflected over the y-axis, what is the slope of the new line?

A:

Q: Find the general equation Ax + By = C for the line with slope m y-intercept - 2. and

A: Given:General equation Ax+By=Cslope m=-23y-intercept  -2Equation:y=mx+b

Q: 1)What is the slope of any line perpendicular to 2y = 4x +3 ?

A:

Q: 10 Given the equation 7/1 y = x + 4 What is the slope of this line?

A:

Q: 2. Determine the x-intercept of the line whose slope is and whose y-intercept 2 is 5 - Answer:…

A: The slope is -12 and the y-intercept is 95

Q: 3. Find the equation of the curve for which y"= 4x³ - 2x and which passes through the point (1, 2)…

A:

Q: Find the equation of line with slope - 6 and x - intercept at 4 Oy = -6x - 24 %3D Oy = 6x - 24 %3D…

A:

Q: 1) Find the slope of the line having equation 3x-4y = 8

A:

Q: 4 Graph the line with slope and y-intercept -1. 3 --

A: The equation of a straight line is :                y = mx + b        where,   m is the slope…

Q: 8. Find the slope of the line whose equation is given by x+3y-6=D0. O -1/4 О 13 О -1/3

A: given  x+3y-6=03y=-x+6y=-x3+63y=-13(x)+2  ....(1)

Q: Write the equation of a line with a slope of 3 and y-intercept of 1. Oy- 3x+ 1/3 Oy-1/3 x Oy-x+3 O…

A:

Q: Given the equation 2y3 = 3x2 – 5. Determine the slope of the line tangent at (4,1).

A:

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

A:

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

A:

Q: What is the equation of the curve that passes through (1,3), if its slope is given by dy = 3x2 at…

A:

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

A:

Q: The line defined by the equation Y = –3 X + 6 slopes up to the right. Is this true?

A: Note that the line has a negative slope.In a line y=mx+c,slope is m. Here,m=-3.So,m<0.

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

A:

Q: Write the equation of the line tangent to the graph of y = 5xe*+4 at x = 1. a) y = 5e-1+4 b) y =…

A:

Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

A:

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

A:

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

A: Follow the procedure given below. Here,option is wrong, correct ans i given below with solution.

Q: 3. If y = 3x – 2x², what is the slope of the curve at the point (2, -2)? а. 3 b. - 4 С. - 5 d. -1

A: Given y=3x-2x22,-2

Q: End the Vellue of g) if the slope of the Curve y= x-2x is (2)?

A:

Q: Show At what points does the equation of the line tangent to the curve y=1/x+3 have a slope equal to…

A:

Q: Find an equation of the line L.L is perpendicular to y=3x.

A: y=3xWe compare it with y=mx+bSo, m=3

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

A:

Q: 3. At what point is 2 the slope of the curve y = 4x +x ?

A: Given,           Slope of the curve = 2    Curve y = 4x+x2         First we find y'        y'=  4+2x

Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

Q: Find an equation of the line L. L is perpendicular to y = 2x.

A: In general, the equation of line is y=mx+c where, m=slope, c=y-intercept Given, y=2x  m=2

Q: 2 5. Write the equation of the line tangent to y=4-x when x=-1.

A:

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

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Q: The equation of a family of straight lines with x and y intercept equal is?

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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: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: What is the equation of the curve whose slope at any point is equal to 1 y x +÷+2 and which passes…

A:

Q: Find the equations of the line tangent to the curve y = x³ + x , where the slope is equal to 4.

A: