1. Graph the line: y = 2x – 5 on the set of axes below.

Q: What will be the axis of symmetry, the line about which a figure or curve is upon itself, between…

A: Given :   y=4x-2

Q: Q2/ Find the equation of the circle tangent to the lines, y= -2x+3, y 2x+7, and y

A: Answer

Q: Graph ƒ(x, y) = 100 - x2 - y2 and plot the level curves ƒ(x, y) = 0,ƒ(x, y) = 51, and ƒ(x, y) = 75…

A: Given the function fx, y=100-x2-y2 Plot the level curve fx, y=0 Therefore the curve is:…

Q: ub-) Find the equation of a line entirely in n which is perpendicular to the line D at the point…

A: You asked to solve part (b) only. So I supposed that you have equation of the plane π and…

Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

A:

Q: Determine the equation of the line (in explicit form y=mx+b) passing through the following points…

A:

Q: Find the point(s) of intersection of the line y=7x-42 and the circle with equation x2+y2-4x+6y=12.

A:

Q: At what point do lines 2x+3y=16 and 3x+5y=26 intersect?

A: graph both the lines using table methodFirst equation is 2x+3y=16. Solve the equation for y and…

Q: Draw the curve of the following equations by point - plotting. 1.) y = -2x +5 2.) x = -3 3.) y2 = 2x…

A:

Q: graph the following lines using the technique that seems most appropriate. y = -x

A: The equation: y=-x

Q: graph the following lines using the technique that seems most appropriate. y = -(2/5) x - 1

A: we can graph the equation by finding the points where it passesgiven: y=-25x-11. put x=0, y=-12. put…

Q: What is the equation of the circle whose center is at (0,0) and which passes through the point…

A: Let A(x1,y1) and B(x2,y2) be the coordinates of eand points of line segment AB.Then, Length of AB =…

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: Calculate the equation of the circle which is centered at the point of intersection of the lines…

A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

A:

Q: 18. Sketch the graph of a circle whose equation is x +y² + 10x - 6y = 2.

A:

Q: Find the length of the chord intercepted by the circle x2+y2+3y-22=0 on the line y=x-3

A:

Q: Find the equation and sketch the graph of the following line. Perpendicular to 3x + 4y = 5, passing…

A: The equation of a line in the slope-intercept form is y=mx+c. In this form, the slope is m and the…

Q: 5. Calculate the equation of a circle which is centered at the point of intersection of the lines x…

A: Topic = Circle

Q: Write an equation for the line graphed below y = I SAS9 ➤X

A:

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Graph the following features: Slope = - Y-intercept = 2 %3D 4 %3D 3.

A: Given,         Slope=-34 and y-intercept=2We know that,          The equation of the line using the…

Q: Q2/ Find the equation of the circle tangent to the lines, y -2x+3, y = - 2x+7, y=+ and y =+

A: In the above question we have to find the equation of the circle at the tangents -  y= -2x+3 ; y =…

Q: If a line has an x-intercept at x=7x=7 and a y-intercept at y=−1y=-1, find its equation in the form…

A:

Q: The line y = kr + 4, where k is a constant, is graphed in the xy-plane. If the line contains the…

A: Given line is: y = kx + 4 ................... (1) The line contains the point (c, d). Then (c, d)…

Q: If C is the line segment connecting the point (x1, Yı) to the point (x2, Y2), find the following. x…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. (a). If you…

Q: find equation for the line threugh (el) and farullel to z-axis. Q3 :

A: To determine: The equation of the line passing through the point (1,1,1) and parallel to the z-axis.…

Q: Consider the lines & : y 3 + -1 and 2: +t 1 Find the point of the intersection (if any) between the…

A: Given the lines l1 : xyz = 23-4 + s -2-11 and l2 : xyz = 111 + t -11-2.

Q: Find the point when the line y=-3x+8 that is closest to the origin.

A:

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: Q2 P. y=f(x)

A:

Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: Evaluate (x2 + y?) ds where C is the line segment from (0,0) to (5, 5).

A:

Q: If a line has an x-intercept at x = 9 and a y-intercept at y = – 4, find its equation in the form y…

A: Intercepts of the line at X axis and y axis is given.

Q: Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1?

A: Given ,   y = 25x - 1 We have to find the equation of line that is perpendicular to the graph of y =…

Q: Is the line whose equation is y=1/2x + 3 tangent to the circle whose equation is…

A: If the the line is tangent to the circle they will meet at a point. Lets find the point of…

Q: The line shown above has an y-intercept of T

A: From the graph we can see that the line intersect the y-axis at y = 1

Q: If y = 7x cuts the circle + y² = 50 at A and B. Find the coordinates of A and B.

A: Given line , y = 7x — 1and circle , x2 + y2 = 50 — 2

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

A:

Q: At what points will the line y =x intersect the unit circle x2 +y2 =1 ?

A: We have to find the points where line y=x is intersecting the unit circle: x2+y2=1 To find the…

Q: For the line x + 4y =2, what is the Y- intercept?

A:

Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

A:

Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

A:

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) & (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: If you wanted to reflect a line segment with one endpoint at (x,y) about the x-axis, which of the…

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.