Unit 5 Test Review Alg 1 Shortened

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines, which never intersect.

Front

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

Back

The slopes of two perpendicular lines are opposite reciprocals of each other.

Front

How do you write the equation of a line parallel to a given line?

Back

Use the same slope as the given line and the point-slope form to find the equation.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

If two lines have the same slope, what can be said about their relationship?

Back

They are parallel lines.

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.

Front

How do you determine if two lines are skew lines?

Back

Two lines are skew lines if they are not parallel and do not intersect, typically in three-dimensional space.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).