8.4C: Slope and Y-Intercept

Front

What is the definition of slope in a linear equation?

Back

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

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points: m = (y2 - y1) / (x2 - x1).

Front

What is the formula for a linear equation in slope-intercept form?

Back

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

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that the line is increasing from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, indicating a change in y without a change in x.

Front

How do you determine the y-intercept from a graph?

Back

The y-intercept is found at the point where the line crosses the y-axis.

Front

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

Back

The slope can represent rates of change, such as speed or cost per unit.