ALg L1 - 25 practice

Front

What does it mean when a system of equations has infinite solutions?

Back

It means that the equations represent the same line, resulting in an infinite number of points of intersection.

Front

What is the condition for a system of equations to have no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

How do you determine the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

Back

Factor out the perfect square from the square root to simplify.

Front

What is the y-intercept of the line represented by the equation y = 2/3x - 3?

Back

The y-intercept is -3.

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

How can you tell if two lines are parallel from their equations?

Back

If the slopes of the two lines are equal, the lines are parallel.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

Front

Back