Slope Criteria for Parallel and Perpendicular Lines: Mastery Test

Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is measured in meters, and the variable t is measured in seconds. The equation describing the graph of the position of the first object with respect to time is d = 2.5t + 2.2. The graph of the position of the second object is a parallel line passing through (t = 0, d = 1). What is the equation of the second graph?

d = 2.5t + 1

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 5?

slope of QS x slope of US = - ST/TU x TU/ST

A perpendicular bisector, CD, is drawn through point C on AB. If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CD is __________. Point __________ lies on CD.

(18/5, 0) (32, -71)

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

-1.5x − 3.5y = -31.5

Given: AB // CD. If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is _____________________. If the coordinates of point D are (5 , 5), the equation of line CD is y = _______ x + _______.

56/5 -7/5 12

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

AB/BC = CE/ED

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

D(11, 6) and E(5, 9) and y = -0.5x − 3 H(4, 4) and I(8, 9) and y = 1.25x + 4

The coordinates of A, B, and C in the diagram are A(p,4), B(6,1), and C(9,q). Which equation correctly relates p and q? Hint: Since AB is perpendicular to BC, the slope of × the slope of BC = -1.

p + q = 7