Slope

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 rise (change in y) over the run (change in x).

Front

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

Back

Slope (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 is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

In the slope-intercept form of a linear equation, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

In the slope-intercept form of a linear equation, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

Write the slope-intercept form of a line with a slope of 2 and a y-intercept of -3.

Back

y = 2x - 3.

Front

If a line has a slope of 4, what does this mean in terms of rise and run?

Back

For every 4 units of rise, there is a 1 unit run.