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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

Front

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

Back

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The equation is x - 4y = 8.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5