Constant Rate of Change Graphs

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where a quantity changes at a consistent rate over time, meaning the same amount is added or subtracted in equal intervals.

Tags

CCSS.HSF-LE.A.1B

Front

How can you identify a constant rate of change on a graph?

Back

A constant rate of change is represented by a straight line on a graph, indicating that the change in the y-value is consistent for each unit change in the x-value.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of a line in relation to constant rate of change?

Back

The slope of a line represents the constant rate of change. It is calculated as the rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3, what does this indicate about the rate of change?

Back

A slope of 3 indicates that for every 1 unit increase in x, the y-value increases by 3 units, showing a constant rate of change.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a graph has a horizontal line?

Back

A horizontal line indicates a constant value; there is no change in the y-value as the x-value changes, meaning the rate of change is zero.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if a graph has a vertical line?

Back

A vertical line indicates an undefined slope, which means that the x-value does not change while the y-value changes, representing a situation that does not depict a constant rate of change.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points on a graph?

Back

To calculate the slope, use the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is 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 y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

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

Back

The y-intercept can be determined by locating the point where the line intersects the y-axis.