Functions review-Miller

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Tags

CCSS.8.EE.B.5

Front

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

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Tags

CCSS.8.EE.B.5

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

The equation of a line can be written in the form 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 is the formula to calculate the slope between two points?

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a real-world context?

Back

In real-world contexts, the slope can represent rates, such as speed, cost per item, or growth rates.

Tags

CCSS.8.EE.B.5

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise (vertical change) and run (horizontal change), and calculate slope = rise/run.

Tags

CCSS.8.EE.B.5