Slope Review

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 divided by the change in x (rise over 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 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 and does not have a defined rise over run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no rise as you move along the line.

Front

Given the points (5, -10) and (5, -4), what is the slope?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

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 determine if a point (x, y) is a solution to the equation y = (2/3)x - 1?

Back

Substitute the x-value into the equation and see if the resulting y-value matches the given y.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope of the line is -5/3.

Front

What does the term 'rise over run' refer to in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

If a line has a slope of 2, what does this mean in terms of movement on a graph?

Back

For every 1 unit you move to the right (run), you move 2 units up (rise).