Name: _________________
ASSIGNMENT-SLOPE AND THE CARTESIAN PLANE
1. Using the Cartesian Plane on the right, answer the following questions.
a) List the points that have an x-coordinate of 2.
6
b) List the points that have a y-coordinate of 3.
F
4
A
D
2
c) State the coordinates of the points that are
on an axis.
C
-6
-4
H
-2
2
4
6
-2
B
d) State the coordinates of the origin.
G
-4
E
e) State the coordinates of the points found
in the fourth quadrant.
-6
y


2. On the axes provided plot the following points.


A (2, 6)
B (-2, 4)
C(-5, -7)
D(6, -5)
O(0, 0)












x
















3. Determine the slope, the vertical intercept and the equation of each line below.

Line Slope y-intercept
1
y
Equation
e2
Lin

2
Lin
e3
3
x




Line
1


4. Calculate the slope of the line that passes through the following pairs of points.
Use the formula m 
y 2  y1
x 2  x1
a) A(-2, 1) , B(5, -3)
b) C(4, 2), D(28, -15)
c) E( -3, 5), F(10, 5)
d) G(4, 3), H(4, -2)
5. What type of lines are EF and GH? Justify your reasoning.
6. Are there any patterns in the coordinates in points E & F, or in points G & H?
7. If you had a point with coordinates (11, -2),
a) What would the y-coordinate of another point on the line be if the line is
horizontal?
b) What would the x-coordinate be of another point on the line if the line is
vertical?