Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation y = mx + b.

Front

How do you convert the equation x - y = 2 into slope-intercept form?

Back

y = x - 2

Front

What does 'm' represent in the equation y = mx + b?

Back

The slope of the 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

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does 'rise over run' mean 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

How can you find the slope from a table of values?

Back

Calculate the change in y (rise) and the change in x (run) between two points, then use the formula m = (change in y) / (change in x).

Front

What is the slope of the line represented by the equation 5x - 4y = -20?

Back

The slope is 5/4.

Front

What is the significance of the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.