Q: What equation is perpendicular to the line y = -2x + 3 through the point (0,2)?

A:

Q: 2. Write an equation of a line that is perpendicular to the line represented by 3x - y = 8 and goes…

A: Slope-intetrcept form:            y = mx + C           where,           m = slope           C =…

Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

A:

Q: What is the equation of the line through the point (-3 , 2) and has x intercept at x = -1?

A: Given: Line passes through ( -3,2) and has x intercept x=-1.   To find: Equation of the above line.…

Q: What is the equation of the line that is parallel to the graph of y = 2x – 5 and passes through the…

A: Explained below

Q: What is the general equation for slope intercept form

A: slope intercept form

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

A:

Q: Find the distance between the lines 3x+y-12=0 and 3x+y-4=0

A:

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 2).

A:

Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

A:

Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: Find an oquation of the line containing the point (-2, 6) and a. parallel to 2x +y-5 perpendicular…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y and the x-axis…

A:

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

A:

Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b)  Where, slope = m and point = (a,b)

Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

A:

Q: at the line x = 3. %3D

A: Find the volume of the solid generated by revolving the region between the parabola  x=y2+1 and the…

Q: Find the line LI passes through the point (-2,2) and perpendicular to the line L2: 2x +y-4.

A:

Q: Find the y intercept of the line 4x – 5y - 20 - -

A: We need to find the y-intercept of the line 4x-5y=-20. So,              4x-5y=-20⇒y=--20-4x5…

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

A: Solution

Q: Find the distance of the point (6, – 3) from the line 2x – y+4=0.

A:

Q: What is an equation of the line that passes through the point (4, –3) and is perpendicular to the…

A:

Q: Find the point of inflection of the curve x^3 – 3x^2 –x + 7.

A: For inflection point, second derivative is zero

Q: Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

Q: There is a line through the origin that divides the region bounded by the parabola y = 5x – 7x² and…

A:

Q: 4. Show that it has a real value!

A:

Q: 3. 2x − y = 4 at point (0,−4)

A:

Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

A:

Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

A:

Q: Find the curve whose slope at the point (x, y) is x' +2x² – 7x +9 if the curve is required to pass…

A:

Q: Find the point on the line 4x + y = 9 that is closest to the point (-3, 1). (х, у) %3

A: 4x+y=9 and the point is -3, 1. Let x, y be the required point on the line. Now the distance between…

Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

Q: What is an equation of the line that passes through the point (8,0) and is parallel to the line x +…

A: Use slope of given line and them find the equation of line.

Q: Write the equation of the line tangent to the graph of the function at the indicated point.  y =…

A: Given

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: parallel to -2x+3y=7 and passing through the point (6,4)

A:

Q: Determine the slope-intercept equation of the line tangent to the graph of y = 4x^2 - 7x + 1 at x =…

A: y=4x2-7x+1 We need to Determine the slope-intercept equation of the line tangent to the graph of the…

Q: tion represents a line which is parallel to the line 2x + y

A: The given line is  2x+y=-8y=-2x-8 comparing with y=mx + c, therefore the slope is -2

Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

A:

Q: The equation of the line with slope −1 that goes through the point (−4,−4) can be written in the…

A:

Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

A:

Q: What is the slope interecept form of the line that passes through the point (4,7) and is parallel to…

A: Given : To determine the equation of a line in slope-intercept form that passes through the point…

Q: Find the equation of the line (in slope intercept form) containing the point (8, 2) that is…

A: Given that a line containing the point 8,2 and the line is perpendicular to the line y=2x-7. Find…

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

A:

Q: Find a non-negative number whose difference from its square is a maximum.

A: non-negative number whose difference from its square is a maximum.  Let the no is x

Q: Find the Equation of the line that passing in point (3,5) and parallel or perpendicular to the…

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.