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 term 'slope' refer to in a linear equation?

Back

The slope (m) indicates the steepness of the line and the direction it goes. It is calculated as the rise over run.

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

Back

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

Front

What does 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept of the line.

Front

What is the difference between the x-intercept and y-intercept?

Back

The x-intercept is where the line crosses the x-axis (y=0), while the y-intercept is where it crosses the y-axis (x=0).

Front

What is the graphical representation of a linear equation?

Back

A linear equation is represented as a straight line on a graph.

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.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

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.