x = -3(х, у)Xy(-3, 3) 3-3O, -2)-2x=-3(-3, O)-3(-3, 0)-3(-3,O)-23-1↑↑(-3, -2)Each valueChoose anynumber for y.of xmust be -3.Self Check 7Graph: x = 510Graph LayersClear ll98After you add an object to the graph you7Deletecan use Graph Layers to view and edit its6properties.54Fill321-10 -9-8-7-6-5-4-3-2-1256.10-1-2No-3Solution-4-5-6-7-8-9-10HelpWebAssign. Graphing Tool Graph: x = -3To find three ordered-pair solutions of this equation to plot, we must select -3 forx each time.The given equation requires that x = -3.= -3. Since the coefficient of y is 0, the numbers chosen for y have no effect on x. The value of x is alwaysWe can write the equation in general form as x + Oyexample, if y = -2, we have-3. Forx + Oy = -3 This is the given equation, x =x + 0(-2) =-3, written in standard (general) form.Substitute -2 for y.X =Simplify the left side.One solution is (-3, –2). To find two more solutions, we choose y = 0 and y = 3. For any y-value, the x-value is always -3, so we enter (-3, 0) and (-3, 3) in the table. If weplot the ordered pairs and draw a straight line through the points, the result is a vertical line. The x-intercept is (-3, 0) and there is no y-intercept.yX = -34y(х, у)(-3, 3)-3-2-2)2X = -3(-3, D)-3(-3, 0)3(-3, П)-3-2-14(-3, -2)Each valueChoose anyof xnumber for y.must be -3.

Given: The equation of line x=-3, To determine: The graph of the give line.

X = -3 y (х, у) ●(-3, 3) – 3 -3 -2 (O,-2) x = -3 (-3, O) (-3, D) -3 (-3, 0) -2 -1 -3 4 3 4 ↑ •(-3, –2) Each value of x must be -3. Choose any number for y. Self Check 7 Graph: x = 5 10 Graph Layers « 9 8 After you add an object to the graph you 7 can use Graph Layers to view and edit its properties. 4 Fill 2 10 9 8 6 -1 -2 No -3 Solution -4 -5 -6 -7 -8 -9 -10 O Help o> •

X = -3 y (х, у) ●(-3, 3) – 3 -3 -2 (O,-2) x = -3 (-3, O) (-3, D) -3 (-3, 0) -2 -1 -3 4 3 4 ↑ •(-3, –2) Each value of x must be -3. Choose any number for y. Self Check 7 Graph: x = 5 10 Graph Layers « 9 8 After you add an object to the graph you 7 can use Graph Layers to view and edit its properties. 4 Fill 2 10 9 8 6 -1 -2 No -3 Solution -4 -5 -6 -7 -8 -9 -10 O Help o> •

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.

Question

x = -3
(х, у)
X
y
(-3, 3) 3
-3
O, -2)
-2
x=-3
(-3, O)
-3
(-3, 0)
-3
(-3,O)
-2
3
-1
↑
↑
(-3, -2)
Each value
Choose any
number for y.
of x
must be -3.
Self Check 7
Graph: x = 5
10
Graph Layers
Clear ll
9
8
After you add an object to the graph you
7
Delete
can use Graph Layers to view and edit its
6
properties.
5
4
Fill
3
2
1
-10 -9
-8
-7
-6
-5
-4
-3
-2
-1
2
5
6.
10
-1
-2
No
-3
Solution
-4
-5
-6
-7
-8
-9
-10
Help
WebAssign. Graphing Tool

Graph: x = -3
To find three ordered-pair solutions of this equation to plot, we must select -3 for
x each time.
The given equation requires that x = -3.
= -3. Since the coefficient of y is 0, the numbers chosen for y have no effect on x. The value of x is always
We can write the equation in general form as x + Oy
example, if y = -2, we have
-3. For
x + Oy = -3 This is the given equation, x =
x + 0(-2) =
-3, written in standard (general) form.
Substitute -2 for y.
X =
Simplify the left side.
One solution is (-3, –2). To find two more solutions, we choose y = 0 and y = 3. For any y-value, the x-value is always -3, so we enter (-3, 0) and (-3, 3) in the table. If we
plot the ordered pairs and draw a straight line through the points, the result is a vertical line. The x-intercept is (-3, 0) and there is no y-intercept.
y
X = -3
4
y
(х, у)
(-3, 3)
-3
-2
-2)
2
X = -3
(-3, D)
-3
(-3, 0)
3
(-3, П)
-3
-2
-1
4
(-3, -2)
Each value
Choose any
of x
number for y.
must be -3.

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