reflect the point (2, -4) over the y-axis

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

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Its y-intercept is y

A:

Q: Find the equation of the line passing through the point (2, 3) and parallel to the x-axis.

A: Given that the line is parallel to x-axis it implies the slope of the line will be equal to zero.…

Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: Graph the line y y%3D +2 onto the coordinate plane below.

A:

Q: Find an equation for the set of points equidistant from the x-axis and the y-axis.

A: Let the point be (x,y,z) which is equidistant from the x-axis and the y-axis. Concept used:

Q: Draw the line y = 2.x + 1 and its image under reflection in the y-axis.

A: The given line is  y=2x+1 The slope of the line is 2, Y-intercept is 1,0 and X-intercept is -0.5,0.…

Q: List the quadrant or quadrants x3 >0 and y3 < 0 satisfying condition.

A:

Q: emphasize the sketch using x and y intercepts

A:

Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

A:

Q: What will be the x-coordinate of Point C?

A: I have given an answer in step 2.

Q: Give the equation of the line passing through the point (– 3, – 9) that is parallel to y =

A: We will find the equation of the line.

Q: Find the equation of the line. y = %3D Enter 1.

A: topic - equation of line

Q: Sketch the graph of the equation by point plotting y = 4 − x2

A: To Graph: Sketch the graph of the equation by point plotting

Q: The distance of the line 7x + y –5 = 0 from the origin is?

A:

Q: List the quadrant or quadrants x3 <0 and y3>0 satisfying condition.

A:

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find the point on the y-axis which equidistant from the point A (6,5) and B (-4,3)

A: Please refer to the image below

Q: about the y-axis

A:

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: Find the standard form for the equation of the line which passes through the point (2,0) and which…

A:

Q: What is the y-intercept of y = secx?

A:

Q: Find the distance from the point (4, 3, 0) to thea. x-axis b. y-axis c. z-axis

A: It is given that, the point 4,3,0.We have to find the distance from the given  point to the a…

Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

A:

Q: Find the image of the point (1,2) in the straight line 3x+4y-1=0

A:

Q: Find the equation of the line perpendicular to 3x + 5y = 3 passing through the point (5, 2). y =

A:

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

A:

Q: Write the equation of the straight line through (2, −3) with slope 3/4, in the parametric form r =…

A: Line passing through the point 2, -3 with slope 34.

Q: Find the distance from the point (4, 3, 0) to the y-axis

A: We have to find the distance from the point 4, 3, 0 to the y-axis. We know that distance from the…

Q: Find an equation for the contour of f(x, y) = 2x2y + 6x + 10 that goes through the point (2, -2).

A: We have to find an equation that is the contour of  f(x,y)=2x2y+6x+10      that goes through the…

Q: Reflect over the y-axis.

A:

Q: y = 6x?, 1, and y 0, about the -axis.

A:

Q: Is the point (−3, 0) on the x-axis or y-axis? How do you know? Explain

A: we have to identify the point (-3, 0) on the x-axis or y-axis

Q: What point on the graph of y = x² is closest to the point (3,0)?

A:

Q: The y coordinate of (-2, 4) is what?

A: Given, -2,4 To find the y - coordinate of the point.

Q: Sketch the graph of the equation by point plotting    y = √(x + 2)

A: We find the points on the graph of the given equation by arbitrarily choosing the values of x:

Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

A:

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

A: Equation of the line passing through the points (x1,y1) and (x2,y2) is given as (y-y1) =  (x-x1)

Q: Perpendicular to the line y = 2x - 3; containing the point (1, –2)

A: Equation of a line passing through the point (a, b) and slope m is y-b=m(x-a)

Q: Graph the equation onto the coordinate plane below. y = - 2x 3 10- t. 5- 2 10 -9 -8 -7 -6 -5 -4 -3…

A: The coordinate plane can be used to plot points and graph lines. This system allows us to describe…

Q: Find the equation of a line perpendicular to y=−4x that contains the point (−3,−4).

A: If a line is perpendicular to another line, then the product of the slopes of the two lines is…

Q: Sketch the curves 2.)  y = 36 + 12x - x3

A: This question is taken from the curve sketching in which we have to sketch the given function. We…

Q: B. Write the equation for the line parallel to y = 2x – 2, through the point (– 1,6). %3D Equation:

A: The equation for the line parallel

Q: What point on the line y=3x+6 is closest to the​ origin?

A: The point on the line closest to the origin is the foot of perpendicular drawn from origin to the…

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: Find the equation of the line parallel to the line y= 4x+3 and passes through the point (0,2)

A: This question is based on equation of line.

Q: Find the equation of the line passing through the point (- 3,1,4 ) and parallel to the z-axis

A: here is parallel to z axis  means direction point are (0,0,1) line equation is (x-a)/0 =(y-b)/0…

Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0.

A: Introduction :

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.