-2 -2 (2,-2) The slope is negative 2.

Q: 3. Rise- of -1 9456 78 -2 Run --3 slope =

A: Slope of a line passing through two points (x1,y1) and (x2,y2) is given by (y2-y1)/(x2-x1)

Q: What is the equation of the line that passes through the point (5,−7)(5,−7)and has a slope of −1−1

A:

Q: Find an equation of the line that passes through the points. Then sketch the line. (−3, 6), (1, 2)

A: Now equation of the line passing through these points are

Q: y intercept -13 passes through (-9,-4) slope intercept form

A:

Q: 2x+7y=14 (a) The x-intercept of the line is . Give answer as a number. No variable. (b) The…

A:

Q: Determine which ordered pair is a solution of y = -3x + 4 A. (5,-12) B. (3, 6) C. (-4,1) D. (2, -2)

A: Solution

Q: Which ordered pair represents when the equation is evaluated by x = -7? y = -3x2 - 7 %3D O (-7,-154)…

A:

Q: What is the slope of the line that passes through the points (-8, –1) and (-6, -2)? Write your…

A: We have to find the slope of line passes through the given points.

Q: Find the slope and y-intercept for the line y = -4x + 12. A slope = -4, y-intercept (0, 12) B slope…

A: The given line y=-4x+12

Q: Find the slope of the line passing through the points (a, 4a + 2) and (a + h, 4(a + 4h) +2). The…

A: Given,            The line passing through the points a,4a+2 and a+h,4a+4h+2.We know that,…

Q: what is -3=-2(x-5) converted to slope-intercept form?

A: Slope intercept form is given by y = mx + c where m is the slope of line and c is the intercept

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.