SLOPE PRACTICE-HONORS

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no rise as the x-value changes.

Front

What is the slope of a vertical line?

Back

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

Front

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

Back

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

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

For every 2 units you move to the right (run), the line rises 1 unit (rise).

Front

How do you identify a line with a slope of -3?

Back

A line with a slope of -3 falls steeply; for every 1 unit you move to the right, it falls 3 units.