Finding Slope

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line, and 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 a line that rises 4 units for every 3 units it runs to the right?

Back

The slope is 4/3.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing, meaning as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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 = -3/2x + 4?

Back

The y-intercept is 4.

Front

If a line has a slope of -1/2, what does this mean in terms of rise and run?

Back

For every 2 units the line runs to the right, it falls 1 unit.

Front

How can you determine if two lines are parallel based on their slopes?

Back

Two lines are parallel if they have the same slope.