Algebra: Slope/Linear Functions - Prior to PS Form 2024-25

Front

What is the slope of a line?

Back

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

Front

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

Back

The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is in the form y = b, where 'b' is the y-coordinate of any point on the line.

Front

If a line is parallel to the y-axis, what can you say about its equation?

Back

If a line is parallel to the y-axis, its equation will be of the form x = a, where 'a' is a constant.

Front

If a line is perpendicular to the x-axis, what can you say about its equation?

Back

If a line is perpendicular to the x-axis, its equation will be of the form x = a, where 'a' is a constant.

Front

What is the slope of a line that is perpendicular to a line with slope m?

Back

The slope of a line that is perpendicular to a line with slope m is -1/m.

Front

How do you write the equation of a line given a point and a slope?

Back

You can use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.