Linear Functions Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run) between two points on the line.

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 slope of the line that goes through the points (−11,−5) and (1,−12)?

Back

Front

What is the slope of the line that goes through the points (6, 8) and (−3, 8)?

Back

The slope is 0, indicating a horizontal line.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is represented as Ax + By = C, where A, B, and C are integers.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Which equation represents a line with a slope of ¼ and a y-intercept of -2?

Back

The equation is x - 4y = 8.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning it goes straight up and down, and cannot be expressed as a ratio of rise over run.

Front

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

Back

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