Flashcards for:
Algebra Basics: Inequalities In Algebra - Math Antics
What website can offer more learning resources?
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More learning resources can be found at www.mathantics.com.
What equation represents any linear function on the 2D coordinate plane?
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The equation y = mx + b is used to represent any linear function on the 2D coordinate plane.
How can a line be defined on the coordinate plane?
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A line can be defined by any two points by 'connecting the dots' to get a line segment and extending it in either direction to get the infinite line.
What equations are introduced in this video?
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The video introduces equations for calculating the slope of any line and the distance between any two points on a line.
What is the key to finding the slope of a line segment?
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The key is realizing that you can use any line segment to make a right triangle on the coordinate plane.
What do 'delta X' and 'delta Y' represent?
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'Delta X' represents the change in X coordinates and 'delta Y' represents the change in Y coordinates between two points.
How do you calculate 'delta X'?
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To calculate 'delta X', subtract the X-value of the first point from the X-value of the second point.
How do you calculate 'delta Y'?
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To calculate 'delta Y', subtract the Y-value of the first point from the Y-value of the second point.
What is the equation for the slope of a line?
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Slope = (delta Y) over (delta X), which is the same as (delta Y) divided by (delta X).
What alternative terms are sometimes used for 'delta Y' and 'delta X'?
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'Rise' and 'Run' are sometimes used to describe the change in Y and the change in X.
What is the distance formula for two points on a line?
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Distance equals the square root of [(delta X) squared plus (delta Y) squared].
How does the distance formula relate to the Pythagorean Theorem?
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The distance formula is a special form of the Pythagorean Theorem used in Algebra to find the distance between any two points on the coordinate plane.
Can delta values be negative?
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Yes, delta values can be negative because they represent the difference between coordinate values, but lengths are the absolute values of these deltas.
How do you find the slope using the delta values?
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Slope = (delta Y) over (delta X).
How do you find the distance using the delta values?
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Distance = the square root of ('delta X squared' + 'delta Y squared').
What should be used to check the accuracy of calculated delta values?
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The delta values should be confirmed by looking at a graph to ensure they match the lengths calculated from the triangle formed by the line.
How can the slope be expressed?
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The slope can be expressed as an improper fraction, a mixed number, or a decimal value.
What reminder is given by Pythagoras?
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Pythagoras reminds us that the key to success in math is to practice, particularly with slope and distance problems.
What website can offer more learning resources?
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More learning resources can be found at www.mathantics.com.
What equation represents any linear function on the 2D coordinate plane?
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The equation y = mx + b is used to represent any linear function on the 2D coordinate plane.