Slope Retest Work

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 change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

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 a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning the x-value does not change while the y-value does.

Front

Find the slope of the line that passes through the points (2, 3) and (5, 11).

Back

The slope is m = (11 - 3) / (5 - 2) = 8 / 3.

Front

Find the slope of the line that passes through the points (1, 2) and (4, 5).

Back

The slope is m = (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

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

Back

The slope is 2, which indicates that for every unit increase in x, y increases by 2 units.

Front

If a line has a slope of -3, what does this tell you about the line's direction?

Back

A slope of -3 indicates that the line falls steeply from left to right.