Coordinate Plane and Slope Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

What is the origin in the coordinate plane?

Back

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

Front

What are the four quadrants of the coordinate plane?

Back

Quadrant I: (+,+), Quadrant II: (-,+), Quadrant III: (-,-), Quadrant IV: (+,-).

Front

What is an ordered pair?

Back

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

Front

What is the x-axis?

Back

The x-axis is the horizontal line in the coordinate plane where y=0.

Front

What is the y-axis?

Back

The y-axis is the vertical line in the coordinate plane where x=0.

Front

How do you identify the quadrant of a point (x, y)?

Back

If x > 0 and y > 0, it's in Quadrant I; if x < 0 and y > 0, it's in Quadrant II; if x < 0 and y < 0, it's in Quadrant III; if x > 0 and y < 0, it's in Quadrant IV.