Coordinate Geometry

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If the slope of one line is 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line would be -1/3.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The y-intercept is the value of b in the slope-intercept form y = mx + b.

Front

What is the significance of the coordinates in the midpoint formula?

Back

The coordinates represent the average position of the endpoints of a line segment.

Front

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

Back

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