Graphing Lines in Standard and Slope Intercept Form

Front

What are the x- and y-intercepts of the equation 2x + y = 6?

Back

The x-intercept is (3, 0) and the y-intercept is (0, 6).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation 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 the slope-intercept form of a line?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form of a line?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept of the line.

Front

How do you graph a line using slope-intercept form?

Back

First, plot the y-intercept (0, b) on the graph, then use the slope (rise/run) to find another point.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept of the line is 4.

Front

What is the relationship between the slope and the direction of a line?

Back

A positive slope indicates the line rises from left to right, while a negative slope indicates it falls from left to right.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

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