Exploring Parallel and Perpendicular Slopes

What is the relationship between the slopes of parallel lines?

• They have opposite slopes.

• They have the same slope.

• They have reciprocal slopes.

• They have no relationship.

Given the line y = 3x + 2, what is the slope of a line parallel to it?

• 1/3

• 2

• 3

• -3

Which form is used to write the equation of a line given a point and a slope?

• General form

• Point-slope form

• Standard form

• Slope-intercept form

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

• Subtract the slope from both sides.

• Distribute the slope and solve for y.

• Add the slope to both sides.

• Multiply both sides by the slope.

What is the relationship between the slopes of perpendicular lines?

• They have the same slope.

• They have opposite slopes.

• They have reciprocal slopes.

• They have opposite reciprocal slopes.

Given the line y = 3x + 2, what is the slope of a line perpendicular to it?

• -3

• -1/3

• 3

• 1/3

What is the opposite reciprocal of the slope 3?

• 1/3

• -1/3

• -3

• 3

Which form is used to write the equation of a line perpendicular to a given line and passing through a specific point?

• General form

• Slope-intercept form

• Standard form

• Point-slope form

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

• Subtract the slope from both sides.

• Add the slope to both sides.

• Multiply both sides by the slope.

• Distribute the slope and solve for y.

What is the final slope-intercept form of the line perpendicular to y = 3x + 2 and passing through (3, 1)?

• y = -1/3x + 1

• y = 3x + 1

• y = -1/3x + 2

• y = 1/3x + 2