Linear graphs and Equations *

Front

What is the y-intercept of a linear graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the value of y at that point.

Front

How do you identify the slope of a linear equation in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation, indicating the steepness and direction of the line.

Tags

CCSS.8.EE.B.5

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 much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

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, and A should be non-negative.

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the formula for 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.EE.B.6

CCSS.8.F.A.3

Front

What does a positive slope indicate about a linear graph?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Tags

CCSS.8.EE.B.5

Front

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

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the x-intercept in a linear graph?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) where a is the value of x at that point.