Name: _______________________________________ Period: _____ Date: _________________________
11.1 Slope, Distance & Midpoint Homework
1. Using the slope formula only, find the slope of the line segment that has the following endpoints. Write
your slope in simplest form.
a. 𝐴𝐴(−2, 4) and 𝐵𝐵(8, 10)
b. 𝐶𝐶(−10, 3) and 𝐷𝐷(11, −9)
c. 𝐸𝐸(2, 11) and 𝐹𝐹(−2, 3)
2a. On the diagram below, draw a line that passes through point C and is parallel to ����
𝐴𝐴𝐴𝐴 . Explain how you
created your line.
b. If the line you drew in #2(a) was extended, would it eventually pass
through the point 𝐸𝐸(18, −8)? Explain how you determined your
yes/no answer.
���� parallel, perpendicular or
3. Given the four points 𝐴𝐴(−3, 5), 𝐵𝐵(1, 13), 𝐶𝐶(4, 2) and 𝐷𝐷(10, 5) are ����
𝐴𝐴𝐴𝐴 and 𝐶𝐶𝐶𝐶
neither? Justify your answer.
4. If each of the following represents the slope of a line, give the slope of a line that is perpendicular to it.
4
a. 𝑚𝑚 = 3
3
b. 𝑚𝑚 = − 7
c. 𝑚𝑚 = 4
1
d. 𝑚𝑚 = − 3
e. 𝑚𝑚 = 1
5. If a line was drawn through point 𝐶𝐶 in the diagram such that it is
���� , at what coordinate point would the two lines
perpendicular to 𝐴𝐴𝐴𝐴
intersect?
6. Find the distance between each set of points using the distance
formula.
a. (3, 12) and (15, 7)
b. (−3, 1) and (5, 7)
c. (10, −5) and (−6, 7)
7. For each set of coordinates, find the coordinates of the midpoint of the segment.
a. (−5, 7) and (9, 15)
b. (−8, 12) and (5, 4)
8. For the points below, find three quantities: the slope between the points, the midpoint between the
points and the distance between the points. Show all calculations. Simplify all answers.
𝐴𝐴(−4, −10) and 𝐵𝐵(8, 6)
Slope:
Distance:
Midpoint: