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SVEN [57.7K]
2 years ago
10

Jessie graphed one of the lines in a system of equations: y = 3 x minus 2. If the system has an infinite number of solutions, wh

ich statements are true? Check all that apply.
On a coordinate plane, a line goes through (0, negative 2) and (1, 1).
Any point in the coordinate plane is a solution because it has an infinite number of solutions.
Point (1, 1) is a solution because it is one of the points on the line already graphed.
It is impossible to tell if (–1,–5) is a solution without seeing the other line graphed.
Point (20, 58) is a solution because it results in a true statement when the point values are substituted into the equation of the line.
When the other line in the system is graphed, it will share all points with the line already graphed.
Mathematics
2 answers:
m_a_m_a [10]2 years ago
8 0
849494948484848484848494949494949494949494939394948585858584
True [87]2 years ago
4 0

Answer:b, d and e, sorry if it’s wrong.

Step-by-step explanation:

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8 0
2 years ago
Direction: True or False
Goshia [24]

Answer:

<u>False </u>Any three points are always coplanar

<u>False </u>Two points are always collinear

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Read explanations, as the answer to these questions, is subjective.

Step-by-step explanation:

The definition of coplanar is; figures that exist on the same plane. Any three points might not always be colinear, as some points might exist on one plane, but other points could exist on other planes. To visualize this phenomenon, refer to the attached image. Two points could be on the red plane, but the third could be on the green. Therefore, while there are three points, not all of them exist on the same plane. However, another plane can be constructed to connect these points, bear in mind certain problems might specifically indicate that three points are not coplanar, therefore, the answer is false.

The definition of collinear is existing on the same line. This statement is a little subject, it can be both true and false depending on the way one looks at it. A line can be drawn to connect any two points, one only needs two points to determine a line. So technically two points are always collinear. However, it also depends on the circumstance. Certain geometry problems might specifically indicate that two points are not collinear. Thus, it really depends on the context. Therefore, the answer is technically false.

Two planes usually intersect on a line. To understand this, please refer to the image attached. Tehcnailly, if a corner of one plane intersects another, then one can state that the plane intersects on a point, but typically, planes intersect on lines. Therefore, technically the answer to this problem is false, as two planes usually intersect on a line.

Images credits: Geogebra

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