Slope Review

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation.

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) between two points (x1, y1) and (x2, y2) is: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant, and the slope cannot be calculated.

Front

How do you find the y-intercept of a line?

Back

The y-intercept is found by setting x = 0 in the equation of the line and solving for y.

Front

What is the y-intercept of the line represented by the equation y = 2x - 3?

Back

The y-intercept is -3, which is the value of y when x = 0.

Front

Calculate the slope of the line passing through the points (1, 2) and (3, 6).

Back

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

Front

If a line has a slope of 2, what does this mean?

Back

It means that for every 1 unit increase in x, the y-value increases by 2 units.