Topic 2 Flashcardizz

Front

What is the definition of parallel lines in the context of linear equations?

Back

Parallel lines are lines in a plane that do not intersect or touch each other at any point. In terms of linear equations, two lines are parallel if they have the same slope.

Front

How do you determine the slope of a line given its equation in slope-intercept form?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m represents the slope. To find the slope, identify the coefficient of x.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. In the slope-intercept form y = mx + b, the y-intercept is represented by b.

Front

How do you find the y-intercept from a standard form equation?

Back

To find the y-intercept from a standard form equation Ax + By = C, set x = 0 and solve for y.

Front

What does it mean to shift a graph vertically?

Back

Shifting a graph vertically means moving it up or down on the coordinate plane. For example, adding a constant to the function shifts the graph up, while subtracting a constant shifts it down.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

How do you write the equation of a line in standard form?

Back

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the significance of the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is useful for writing the equation of a line when you know a point on the line and the slope. It is given by y - y1 = m(x - x1).

Front

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

Back

To determine if two lines are parallel, compare their slopes. If the slopes are equal, the lines are parallel.

Front

What is the process for converting a linear equation from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y in terms of x.