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 x3 - x-

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: Find an equation of the line that passes through the point (3, -1) and is parallel to the line 2x -…

A: Solution: General Equation of striaght line is y=mx+c  where m is slope of striaght line and c is…

Q: How would get a slope-intercept equation with y=1/5x-4 and (-4,-8)?

A: See the details solution in below

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: The equation for the line that passes through the point (1,0) and perpendicular to the --1 is line x…

A:

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 the equation of a straight line perpendicular to the line 5x-3y+1=0 and passing throught the…

A:

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

A:

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: Containing the points (-3,4) and (2,5)

A: The points are (-3, 4) and (2,5). The equation of line in slope-intercept form is given as…

Q: Write an equation for a line that is perpendicular to the one given by h(x)=4x+2 and passing through…

A: Write an equation for a line that is perpendicular to the one given by h(x)=4x+2 and passing through…

Q: Write an equation for a line parallel to y = - 2x - 1 and passing through the point (1,-5) y =

A:

Q: Find the equation of the curve whose slope is given by 8 1 + x2 and the curve passes through the…

A: Solution