Writing equations review

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What is the slope of a line that is represented by the equation y = -2x + 13?

Back

The slope of the line is -2.

Front

If a line has a slope of 3 and a y-intercept of 6, what is the equation of the line?

Back

The equation of the line is y = 3x + 6.

Front

How do you determine if two lines are neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if their slopes are different and not negative reciprocals of each other.

Front

What is the equation of a line parallel to y = 5/7x + 2 that passes through the point (1, 3)?

Back

The equation is y = 5/7x + b, where b can be found by substituting the point (1, 3) into the equation.

Front

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

Back

The y-intercept is 3.

Front

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

Back

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

Front

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

Back

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

Front

If a line has a slope of -2, 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 a slope of -2 is 1/2.