Exploring Parallel and Perpendicular Lines

What is required to find the equation of a line when given two points?

• Only the x-coordinates

• Only the y-intercept

• The slope and one point

• The distance between points

What property do parallel lines share?

• Same x-intercept

• Same slope

• Same length

• Same y-intercept

What is the slope of a line through points (-5, 4) and (-4, 0)?

• -4

• 1

• 4

• -1

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

• (x2 - x1) / (y2 - y1)

• Sum of x-coordinates minus sum of y-coordinates

• (y1 + y2) / (x1 + x2)

• (y2 - y1) / (x2 - x1)

How do you use a point to find the y-intercept when you know the slope?

• Multiply the x-coordinate by the slope

• Substitute the point into y = mx + b and solve for b

• Divide the y-coordinate by the slope

• Add the coordinates together

What is the y-intercept of a line with slope -4 passing through the point (-5, 6)?

• -14

• 14

• 6

• -6

If a line has a slope of 5, what is the slope of a line perpendicular to it?

• 5

• -5

• -1/5

• 1/5

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

• -1/5

• -5

• 1/5

• 5

If a line passes through the point (0, 6) and has a slope of -1/5, what is the y-intercept?

• 1

• 0

• 5

• 6

What is the equation of a line parallel to y = -1x + 6 passing through (-1, 10)?

• y = x + 9

• y = -1x + 9

• y = -1x + 10

• y = x + 10