Old Ch. 3 - Slope/Slope-intercept Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

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 is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x is 0, represented by b in the equation y = mx + b.

Front

What is the x-axis on a coordinate plane?

Back

The x-axis is the horizontal line on a coordinate plane where y = 0.

Front

What is the y-axis on a coordinate plane?

Back

The y-axis is the vertical line on a coordinate plane where x = 0.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where the change in x is 0, making the slope calculation impossible.

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 is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, growth, or decline in various contexts.