Parallel & Perpendicular Lines (Slope)

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that goes through the points (-8,6) and (7,-3)?

Back

-3/5

Front

What is the slope of the line that goes through the points (2,3) and (2,5)?

Back

Undefined (vertical line).

Front

What is the slope of the line that goes through the points (1,2) and (3,2)?

Back

0 (horizontal line).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is the y-intercept.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is the x-intercept.

Front

What is the slope of the line represented by the equation y = 3x?

Back

The slope is 3.