12/6/24 Practice & Review Slopez

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

How do you find the slope of a line given two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope of the line is represented by the coefficient m in the equation y = mx + b.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope. If two lines are parallel, their slopes (m_1 and m_2) are equal: m_1 = m_2.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other. If m_1 is the slope of one line, then the slope of the perpendicular line m_2 is given by m_2 = -1/m_1.

Front

Given a slope of ⅔, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with slope ⅔ is -3/2.

Front

What is the equation of a line in point-slope form with a slope of ⅔ and passing through the point (-4, 7)?

Back

The equation is y - 7 = ⅔(x + 4).

Front

How can you determine if two lines are parallel or perpendicular from their equations?

Back

If the slopes of the two lines are equal, they are parallel. If the product of their slopes is -1, they are perpendicular.

Front

What is the slope of the equation y = -8x + 6?

Back

The slope of the equation y = -8x + 6 is -8.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if their slopes are different and do not satisfy the negative reciprocal condition.