Linear Functions

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you identify the y-intercept from the equation of a line in slope-intercept form?

Back

In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is the value of b, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined rate of change and cannot be expressed in the form y = mx + b.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = c, where c is a constant value representing the y-coordinate for all points on the line.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept of a linear equation, set y to 0 and solve for x.

Front

What are the x- and y-intercepts of the equation 5x - 3y = 15?

Back

The x-intercept is (3, 0) and the y-intercept is (0, -5).

Front

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

Back

The slope-intercept form of a linear equation 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

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning one slope is the negative reciprocal of the other.

Tags

CCSS.8.EE.B.6

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3