Coordinate Plane & Ordered Pairs

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, typically written in the form (x, y), where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants of the coordinate plane are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), and Quadrant IV (x > 0, y < 0).

Front

How do you determine if an ordered pair is a solution to a linear equation?

Back

To determine if an ordered pair (x, y) is a solution to a linear equation, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the ordered pair.

Front

What is the significance of the x-coordinate in an ordered pair?

Back

The x-coordinate indicates the horizontal position of a point on the coordinate plane, representing how far to move left or right from the origin.

Front

What is the significance of the y-coordinate in an ordered pair?

Back

The y-coordinate indicates the vertical position of a point on the coordinate plane, representing how far to move up or down from the origin.

Front

What is the origin in the coordinate plane?

Back

The origin is the point (0, 0) in the coordinate plane where the x-axis and y-axis intersect.

Front

What does it mean for a point to be in Quadrant II?

Back

A point is in Quadrant II if its x-coordinate is negative and its y-coordinate is positive.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How can you identify the y-intercept from a linear equation?

Back

The y-intercept can be identified from the equation in slope-intercept form (y = mx + b) as the value of 'b', which is the point where the line crosses the y-axis.

Front

What is the relationship between the slope and the steepness of a line?

Back

The slope of a line indicates its steepness; a larger absolute value of the slope means a steeper line, while a slope of zero indicates a horizontal line.