G4 Slope Review

Front

What is the slope of a line?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (change in x) is 0, leading to division by zero.

Front

How is slope calculated from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the equation of a line in slope-intercept form look like?

Back

The slope-intercept form of a line is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the line y = -\frac{2}{3}x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the ratio of vertical change (rise) to horizontal change (run) when moving between two points on a line.

Front

If a line has a slope of 0, what does it look like on a graph?

Back

A line with a slope of 0 is horizontal and runs parallel to the x-axis.