Lines & Segments Assignment
Do this assignment on a separate piece of paper using graph paper and a
ruler to draw the graphs. Show work for all your answers. Be sure to leave
your answers in the form requested.
1. A line segment has endpoints of (-1, 2) and (3, -4). Find the slope, midpoint and
length between them. Leave the distance in simplified radical form.
2. On a grid draw the triangles with these vertices and classify it as scalene,
isosceles, or equilateral. Show work to support your answer.
J(-5, -1), K(1, -2), L(-3, -6)
3. The following points form a rectangle. On a grid draw the rectangle and find the
area and perimeter of it. Leave your answers in simplified radical form.
E(4, 2), F(6, -1), G(0, -5), H(-2, -2)
4. A is the endpoint and M is the midpoint of a line segment. Find the coordinates
of the other endpoint.
A(-4, -2), M(2, -4)
5. Find the value of k if the line segment joining the given points has the given
slope.
A(2, 5), B(-1, k), slope =
2
3
6. The following are slopes of parallel line segments. Find the value of x .
x
,3
2
7. On a grid draw the triangles with these vertices and determine if it is a right
triangle. Show work to support your answer.
M(2, 2), N(0, -2), O(-3, 4)
8. The following are slopes of perpendicular line segments. Find the value of y .
5 4
,
6 y
9. Are the following points collinear?
D(-5, 4), E(-1, 2), F(4, 0)
10. The equation of a line is y = mx – 1. Find the value for m for a line passing
through (5, -5).
11. Does the line 2x + 5y = -10 pass through the point (5, -4)?
12. Does the point (-2, 4) lie on the line 3x – 2y + 14 = 0?
13. Find the x-intercept, y-intercept and slope for the line 2x + 3y + 6 = 0.
14. Graph the following lines:
a) 2x – 5y – 10 = 0
b) x + 3y + 9 = 0
c) 5x – y = -2
d) 3x -6 = 0
15. Find the equation of the line passing through the points (-3, 5) and (0, 1). Put the
equation into standard form.
16. Find the equation of the line with slope of
2
and y-intercept of -3. Put the
7
equation into standard form.
17. Find the equation of the line with slope of
5
and x-intercept of 5. Put the
3
equation into slope intercept form.
18. The endpoints of a diameter of a circle are (-4, 5) and (6, -3). Is the point (7, 1)
on the circle?
19. Find the equation of the line parallel to 5x – 2y = -6 and through the point (-3, 6).
Put the equation into standard form.
20. Two perpendicular lines intersect on the x-axis. The equation of one of the lines
is 5x – 2y = -10. Determine the equation of the other line and put this equation
into slope intercept form.
21. Find the points on the x-axis that are 13 units from the point (2, 12).
22. Find the point on the y-axis that is equidistance from the point (3, 9) and (6, 0).
23. The points P(1, 4), Q(-1, -2), and R(4, -3) are given. Determine the coordinates of
a point S so that RS is perpendicular to PQ and point S is on the y-axis.