Exploring the Coordinate Plane in Algebra

Who is Rene Descartes most known as in popular culture?

• A great philosopher

• A great mathematician

• The person who said 'I think, therefore I am.'

• A contemporary of Galileo

What is the lesser-known quote by Rene Descartes mentioned in the video?

• 'Philosophy begins in wonder.'

• 'I think, therefore I am.'

• 'You just keep pushing. I made every mistake that could be made. But I just kept pushing.'

• 'Mathematics is the language of the universe.'

What is the primary reason Rene Descartes is included in the foundations of algebra?

• He was a contemporary of Galileo.

• He connected algebra and geometry.

• He was a great philosopher.

• He made many mistakes but kept pushing.

In the equation y = 2x - 1, what is the value of y when x is 0?

• 0

• -1

• 1

• 2

What are Cartesian coordinates named after?

• Isaac Newton

• Euclid

• Rene Descartes

• Galileo

What does the point (0, -1) represent in Cartesian coordinates?

• x is 1, y is 0

• x is 0, y is -1

• x is -1, y is 0

• x is 0, y is 1

What is the convention for listing coordinates in Cartesian coordinates?

• y-coordinate first, then x-coordinate

• x-coordinate first, then y-coordinate

• It depends on the context

• Both coordinates simultaneously

What shape is formed when plotting the equation y = 2x - 1 on a Cartesian plane?

• A line

• A circle

• A triangle

• A curve

Why are equations like y = 2x - 1 called linear equations?

• They involve only one variable.

• They form a line when plotted on a Cartesian plane.

• They are easy to solve.

• They are named after a mathematician named Linear.

What happens if you plot all possible x values for the equation y = 2x - 1?

• You get a circle.

• You get a series of points.

• You get a line.

• You get a curve.