1) Find the slope of the linels) tongent to the graph of (y+x)²-y =x² at X=0.

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: 15. Find the point on the line y 3x that is closest to the point (50,0).

A:

Q: Determine whether there exists a constant c such that the line x+cy=4x Has slope 4:  Passes…

A:

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: Find the shortest distance between the line y - x=1 and the curvex =y.

A: NOTE: Refresh your page if you can't see any equations. . the given line is  compare this…

Q: Determine the family of curves such that at each point the slope is given by 2xy^2

A:

Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the…

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line…

Q: The slope of the curve defined by the equation y-x + x =-2 at the point (-1,0) is %D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Show that the curve y =(1 + x)/(1 + x2) has threepoints of inflection and they all lie on one…

A:

Q: Use the given condition to write an equation for the line in slope-intercept form. Passing through…

A: It is given that the line passes through (5,4) and is perpendicular to the line

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

A: Given the equation of a tangent line:

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

A:

Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: If a line intersects the x-axis at 'r' and the y-axis at '1/r', at what point (x,y) does it…

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

A:

Q: m=--. Find the equation of line passing through point (1, 2) with slope 4

A: Equation of the line with the slope m and passing through the point (x1,y1) is:

Q: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

Q: Find the exact length of the curve. 는x - - In(x), 1<x<6 4 2

A:

Q: 4)Solve for the family of curves of straight lines with y-intercepts thrice as their corresponding…

A:

Q: 4. Find the member of the curve whose slope at any point is and passes through the point (3, 4)

A: Given slope (m) = 3x/4y Passing through a point (3,4) Therefore member of the curve whose slope…

Q: Thus, to find the slope of the secant line passing through P(2, 4) and Q(3, 3.), substitute x for x…

A: Topic:- Coordinate Geometry

Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

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

A:

Q: The slope of the line tangent to the circle x' + y = 100 at the point (- 6,8)is

A:

Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: 6. Use the given conditions to write an equation for the line in point-slope form. Slope = -1,…

A:

Q: Find y such that (3, y) lies on the line of slope m = 2 through ( 1, 4).

A:

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

A:

Q: B) Find the equations of all lines having slope-1 that are tangent to the curve y = -3)

A:

Q: Are there any points on the curve y = x - e^-x where the slope is 2? If so, find them.

A: To determine the point where the slope of the function is 2.

Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

Q: what is the slope of the tanget line to the graph of x-= Incxy) at the point ClD (1.1)

A:

Q: Line L, passes through points (a, 5b) and (3a, 2b). Ifline La is perpendicular to line L1, what is…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: The line y=3x+6 is tangent to the graph of y = (-48)/(x-6) at the point ?

A: The given equation of tangent is y=3x+6 and its tangent to graph of y=-48x-6. To find the points at…

Q: What is the slope of the secant line that intersects the graph of h(x) = 16 – z at z = l and a = 4?

A: The slope of the secant line or any other line can be defined as the rise to the run ratio which is…

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

A:

Q: The slope of line I is x, and the slope of line m is x +2. If llm, what is x?

A: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. in given…

Q: What are the coordinates of the points in the graph of y² – x² + 6x – 13 = 0 in which the tangent…

A:

Q: Determine whether there exists a constant c such that the line x + cy = -9 Has slope 2: Passes…

A:

Q: Find the equations of the tangent lines to the circle x2 + y2 = 9 which pass through the point (-7,…

A:

Q: 45. Parallel to -3x + 4y = 12, passing through (-4, – 6)

A: The line is parallel to -3x+4y=12, passing through -4,-6

Q: 14) Identify the point slope form of the line below. A) y - 3-+ 1) B) y+3-1) C) y+3=-+1) y-3D E) y -…

A:

Q: The slope-intercept form of the line with soope equal to 2/9 and y-intercept at (0,4) is

A: Given: Slope= m=2/9  Point = (X1,Y1) = (0,4)

Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

A:

Q: Find an equation of the line satisfying the following conditions. Through point (1, –5);…

A:

Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.