# Finding Slopes, Midpoints, and Coordinates GEOMETRY

**Question description**

1. What is the slope of line CD? D = (7,6) and C = (5,-2).

2. What is the slope of line EF? E = (-6,8) and F = (2,-2).

3. A line segment has the endpoints (2,-5) and (-1,-1). What is its slope?

4. A line has a slope of 2 and passes through the point (4,0). What are the coordinates of another point that is on the line?

5. What is the slope of the line that passes through the points (1,2) and (-2,4)?

6. ABCD is a rectangle on a coordinate grid with side AB parallel to side CD, and side BC parallel to side AD. The slope of side AB is 2/7. What is the slope of side BC?

7. AB is parallel to CD and the slope of AB is -3/5. What is the slope of CD?

8. What is the slope of a line that is perpendicular to segment AB if the coordinate of A and B are (-4,1) and (1,-1)?

9. The vertices of a square are A = (-2,4), B = (4,4), C = (4,-2), and D = (-2,-2). What are the coordinates of the point where the diagonals intersect?

10. CD has endpoints (-3,4) and (5,2). What are the coordinates of its midpoint?

( When it wants you to find the slope, the answer is usually in fraction form. )

## Tutor Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors