Slope/Equations

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run. A slope of 4 means that for every 4 units the line rises, it runs 1 unit.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs in vertical lines, where the change in x is zero, making the slope calculation impossible.

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 a constant.

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 a constant.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What does the slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no rise as the line runs.

Front

What is the slope of the line represented by the equation y = 3x - 9?

Back

The slope of the line is 3.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.