Linear Equations Flashcard Review Topic 2

Front

What is the slope of a line that is perpendicular to the line with a slope of 3?

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation of the line that passes through the point (2, 3) with a slope of 4.

Back

The equation is y - 3 = 4(x - 2) or y = 4x - 5.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the point where the line crosses the y-axis.

Front

If a line has the equation y = -2x + 5, what is its slope?

Back

The slope of the line is -2.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.