Slope Refresher

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What are the four types of slope?

Back

1. Positive Slope: Line rises from left to right. 2. Negative Slope: Line falls from left to right. 3. Zero Slope: Horizontal line, no rise. 4. Undefined Slope: Vertical line, no run.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

If the slope of a line is 2, what does this indicate about the line?

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units.

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

Given the points (1, 2) and (3, 6), what is the slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

If a line has a slope of -5/3, what does this mean in terms of rise and run?

Back

For every 5 units the line falls (rise = -5), it moves 3 units to the right (run = 3).