Line with a slope of and passing through (0, 1) O 8x – 3y = -3 8x – 3y = 3 O -8x + 3y = -3 -8x + 3y = 3

Q: A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in…

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Q: How to find the slope on a graph to put it into equation form?

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Q: 1 Graph the line with slope passing through the point (2, 3). 2

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Q: Find the slope-intercept form of the line shown in the graph bele 10+ 7- 4 3. 10 -9 -8 -7 -6 -5 -4…

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Q: What Went Wrong? A student is asked to find the slope ofthe line joining (- 3, 2) and (1, - 4). He…

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Q: Sketch the graph of the line (a) passing through (2, -1) with slope 3, (b) passing through (2, 3)…

A: (a) Given that line passing through x1,y1=2,-1 with slope m=3. The equation of line is…

Q: 2. 2. What is the equation of the line that passes through the point (3, 2) and has a slope of -?

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Q: A line that includes the point (4,9) has a slope of 4. What is it's equation in slope-intercept…

A: point (4,9) has a slope of 4.

Q: 2 passing through the point (1, 3). Graph the line with slope 3 10- --10 -8 -6 -2 2. 4. 10 -10 2.

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Q: 1 passing through the point (2, 3). Graph the line with slope

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Q: A line passes through the points (2, 7) and (1, 0). What is its equation in slope-intercept form?

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Q: Find an equation for the line whose graph is sketched.

A: Given graph is: To find the equation for the line. Solution: From the graph we can find that each…

Q: Find an equation for the line with the given properties.Perpendicular to the line x = 3; containing…

A: We have to find the equation

Q: Find the slope-intercept form for the line satisfying the conditions. Passing through (- 3, – 25)…

A: Equation of line in slope intercept form is given by: y = mx+b

Q: 7. Is the graph of x 6 vertical line or horizontal line? What is its slope?

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Q: 1) Find the equation for a line with a slope of 3 and that passes through the point (1,-3). Graph…

A: Equation of straight line having slope m and  passing through the point (x1 , y1 ) is y-y1=mx-x1

Q: Find the equation of the line passing through points (0,3) and point (2,1). Derive the equation of…

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Q: Graph the line passing through the given point with the given slope. .y Through (0,8) with slope -…

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Q: Line M passes through point (5,-6) and has a slope of -3. Comet and Dancer have both written an…

A: For the given points (x 1, y 1 )  = (5, -6) at slope m = -3  equation of the line passes through…

Q: Find the equation of the line passes through the point (9,4) and has a slope 5/3. Simplify your…

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Q: A line has a slope of 1 and passes though the point (8,6). What is its equation in slope-intercept…

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Q: Find the equation of the line through the points (-1,-1) and (5,2) using point-slopë foriI. rewrite…

A: To determine the slope of the line, substitute -1 for x1 and y1, 5 for x2 and 2 for y2 in the slope…

Q: Graph the line that passes through the points (7, 0) and (–2,9) and determine the equation of the…

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Q: Find the equation of the line that passes through the point (3,6) and is perpendicular to the line…

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Q: Determine the equation of the line having slope 6/1 and passing through the point (6,-6). Express…

A: We use point slope formula: y-y1=m (x-x1).

Q: Find an equation of the vertical line with the given property. Passes through the point (−7, 9)

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Q: Find an equation of the line having the given characteristics. Express your answer using either the…

A: To find an equation of the line having y-intercept=-2 and containing the point 5,-3. Solution: We…

Q: Find the equation of the line parallel to the line y=2x+1 and containing the point (3,5) . Express…

A: Given line,   y = 2x + 1 slope-intercept form, y = mx + c slope of the given line, m1 = 2 A line…

Q: The point-slope form of the equation of the line with slope 5 passing through the point (1, 2) is

A: The given slope of a line passing through a point is,

Q: (2,1) From the graph, find the midpoint of the line segment with endpoints of (- 2, 1) and (4, 3).…

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Q: Find the equation of the line with slope 2 and passing through (8,9). Write your equation in point-…

A: We can make it easier for you.

Q: Find an equation of the line L, where L is perpendicular to y = x and passes through the point…

A: Given equation of the line y = 25x      →(1) whichis the form of y = mx+c. where slope = m = 25 and…

Q: How do I find the equation of the line pssing through the given pair of points (3, -1) and (0, 3)?

A: The equation of the line which passing through two points (x1, y1) an (x2, y2) is given by

Q: Find the equation of a line tangent to the circle x² + y² + 2x-4y-31 = 0 at the point (5,2). Draw…

A: Equation of tangent line to circle

Q: Find the equation of the line with the given description. Horizontal, passes through (0,−2)

A: We know that equation of horizontal line is  y=k  where 'k'  is a constant.

Q: The point-slope form of the equation of the line with slope 6 passing through the point (2, 4)' is

A: We know that, The equation of line given by point-slope form is, y-y1 = m(x-x1) --------equation 1…

Q: The point-slope form of the equation of the line with slope 6 passing through the point (2, 3) is

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Q: 2 Graph the line through the point (1, –2) having the slope 3

A: Follow the procedure given below.

Q: A line has a slope of 0 and passes through the point (0, 4). What is its equation in slope-intercept…

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Q: find an equation of the line having the given characteristics. Express your answer using either the…

A: To find the equation of line having slope -2 and passing through the point 13,-12. Solution: We know…

Q: Write the equation of the line containing the points(-3,4)and (2,5) in the form Ax + By = C. Given…

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Q: Find an equation of the line having the given characteristics. Express your answer using either the…

A: Equation Slope intercept of a line passing through (x1,y1) and (x2,y2) is given by…

Q: Find the equation of the line through the points (-1,-1) and (5,2) using point-slope form. Thên…

A: Line passing through the points -1, -1  &  5, 2. Equation is, y--1=2--15--1x--1   ∵Equation of a…

Q: Determine the equation of the line having slope 1/2 and passing through the point (12,5). Express…

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Q: Find the equation of the line that passes through the point (3, 21) and has slope 4. Simplify your…

A: To find the equation of line

Q: Find the equation for the line that passes through (3, 4) that has slope 7 Give your answer in…

A: We have to find the equation of a line that passes through (3 , 4) that has slope -75Let ,   (x1,…

Q: Sketch the line with a slope of 4/5  that passes through the point  (−2, 1). graph

A: Given that: Slope of line = 45 and the line passes through (-2,1)

Q: Give equations and sketch graphs of the lines passing through (0, 1) and having slope -2

A: equation of the line passes through point (x1,y1) and slope = m is  y-y1 = m (x-x1)  Here (x1,y1) =…

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.