Fall Semester Exam Part 1

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). They have slopes that are negative reciprocals of each other.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run.

Front

How do you write a system of equations from word problems?

Back

Identify the variables, translate the relationships into equations, and ensure the equations represent the given information accurately.

Front

What is point-slope form of a line?

Back

Point-slope form is an equation of a line written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the relationship between parallel lines?

Back

Parallel lines have the same slope and never intersect.

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

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope equation (y - y1 = m(x - x1)) to get it into the form y = mx + b.

Front

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

Back

Lines that are neither parallel nor perpendicular intersect at an angle that is not 90 degrees and have different slopes.