Determining Rate of Change and Initial Value

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents how much the dependent variable (y) changes for a unit change in the independent variable (x).

Tags

CCSS.HSF-LE.A.1B

Front

What is the initial value in a linear function?

Back

The initial value in a linear function is the y-intercept, which is the value of y when x is 0.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you identify the slope from an equation of a line?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

Given the equation y = 2x + 3, what is the slope?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

Given the equation y = -4x + 5, what is the y-intercept?

Back

The y-intercept is 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if a function is linear from a table of values?

Back

A function is linear if the rate of change (slope) between any two points is constant.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Tags

CCSS.8.EE.B.5