Graphing Linear Functions

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph crosses the x-axis, found by setting y = 0 and solving for x.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Tags

CCSS.8.EE.B.5

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 is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you convert from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x to get y = mx + b.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the significance of the y-intercept in a graph?

Back

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

Front

What is the formula to calculate 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

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Tags

CCSS.8.EE.B.5