Graphing Linear Equations

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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.

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.EE.B.6

CCSS.8.F.A.3

Front

What does a positive slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is an undefined slope?

Back

An undefined slope occurs in vertical lines where x remains constant, leading to division by zero in the slope formula.

Tags

CCSS.8.EE.B.5

Front

How can you graph the equation 2x - y = 4?

Back

Rearrange to slope-intercept form: y = 2x - 4, then plot the y-intercept (0, -4) and use the slope (2) to find another point.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.