Exploring Point Slope and Parallel & Perpendicular Slopes

What are the two components needed to write the equation of a line in point-slope form?

• Two points

• A slope and an intercept

• A point and a slope

• A point and an intercept

Given the point (4, -7) and the slope 1/2, what is the equation of the line in point-slope form?

• y + 7 = 1/2(x - 4)

• y + 7 = 1/2(x + 4)

• y - 7 = 1/2(x + 4)

• y - 7 = 1/2(x - 4)

What is the slope of the line given by the equation y - 3 = 2/5(x + 10)?

• 5/2

• -5/2

• 2/5

• -2/5

How do you convert the equation y - 3 = 2/5(x + 10) into slope-intercept form?

• Multiply both sides by 5/2 and subtract 3

• Multiply both sides by 5/2 and add 3

• Distribute 2/5 and subtract 3 from both sides

• Distribute 2/5 and add 3 to both sides

What is the relationship between the slopes of parallel lines?

• One is positive and one is negative

• They are the same

• They are opposite reciprocals

• They are undefined

What is the relationship between the slopes of perpendicular lines?

• They are undefined

• They are opposite reciprocals

• They are equal

• They are the same

Given the line y + 1 = -4(x - 9), what is the slope of a line parallel to it?

• 1/4

• 4

• -4

• -1/4

What is the equation of a line perpendicular to 2x - 5y = -35 and passing through (-6, 1)?

• y - 1 = -5/2(x + 6)

• y + 1 = -5/2(x - 6)

• y + 1 = 5/2(x - 6)

• y - 1 = 5/2(x + 6)

What is the slope of a horizontal line?

• Undefined

• Zero

• Positive

• Negative

What is the equation of a vertical line passing through x = -3?

• y = -3

• x = 3

• y = 3

• x = -3