Rewrite the following equation in slope-intercept form. 11x + y = –13
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<h3>Postulates and Theorems</h3>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven. Listed below are six postulates and the theorems that can be proven from these postulates.
Postulate 1: A line contains at least two points.
Postulate 2: A plane contains at least three noncollinear points.
Postulate 3: Through any two points, there is exactly one line.
Postulate 4: Through any three noncollinear points, there is exactly one plane.
Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.
Postulate 6: If two planes intersect, then their intersection is a line.
Theorem 1: If two lines intersect, then they intersect in exactly one point.
Theorem 2: If a point lies outside a line, then exactly one plane contains both the line and the point.
Theorem 3: If two lines intersect, then exactly one plane contains both lines.
Example 1: State the postulate or theorem you would use to justify the statement made about each figure.
(a)
Through any three noncollinear points, there is exactly one plane (Postulate 4).
(b)
Through any two points, there is exactly one line (Postulate 3).
(c)
If two points lie in a plane, then the line joining them lies in that plane (Postulate 5).
(d)
If two planes intersect, then their intersection is a line (Postulate 6).
(e)
A line contains at least two points (Postulate 1).
(f)
If two lines intersect, then exactly one plane contains both lines (Theorem 3).
(g)
If a point lies outside a line, then exactly one plane contains both the line and the point (Theorem 2).
(h)
If two lines intersect, then they intersect in exactly one point (Theorem 1).
Hi there!
When the slopes of two perpendicular lines are multiplied the outcome will be -1.
The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.
Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:
Divide both sides by - 2/5.
The answer is B.
~ Hope this helps you!
When the slopes of two perpendicular lines are multiplied the outcome will be -1.
The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.
Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:
Divide both sides by - 2/5.
The answer is B.
~ Hope this helps you!