Equations of Parallel and Perpendicular Lines

What is the defining property of parallel lines?

• They intersect at a right angle

• They have the same slope

• They intersect at one point

• They never intersect

If two lines are perpendicular, what is the relationship between their slopes?

• The slopes are both zero

• The slopes are equal

• The slopes are the negative inverse of each other

• The slopes are unrelated

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

• Divide the difference in x-coordinates by the difference in y-coordinates

• Multiply the x-coordinates and subtract the y-coordinates

• Add the coordinates and divide by two

• Divide the difference in y-coordinates by the difference in x-coordinates

What can be concluded if two lines have the same slope?

• They are parallel

• They are the same line

• They intersect at one point

• They are perpendicular

What does a slope of -1/4 indicate about a line?

• It is rising to the left

• It is rising to the right

• It is vertical

• It is horizontal

If two lines have slopes of 2/3 and -3/2, what is their relationship?

• No specific relationship

• Identical

• Perpendicular

• Parallel

What is the slope of a line perpendicular to another line with a slope of 5?

• 5

• 1/5

• -1/5

• -5

How do you find the equation of a line given a point and a slope?

• Use the slope-intercept form

• Multiply the slope with the point's coordinates

• Add the point's coordinates to the slope

• Use the point-slope form

What is the slope of a line perpendicular to a line with slope -2/5?

• -5/2

• 5/2

• -2/5

• 2/5

In the point-slope form of a line's equation, what does 'y - y1 = m(x - x1)' represent?

• m represents the difference in y-coordinates

• m is the x-intercept of the line

• x1 and y1 are the intercepts on the axes

• y1 and x1 are the coordinates of any point on the line