Transcript Equations Rectangular Coordinates

Rectangular
Coordinates & Linear
Equations
Rectangular Coordinates

Parts of a coordinate plane
Y

X

axis
Vertical line
axis
Horizontal line
 Quadrants

The 4 parts that the coordinate plane is divided
into
Quadrants

The upper right quadrant is the first
quadrant and the rest go
counterclockwise.
Points in Quadrant 1 have positive x and
positive y coordinates.
 Points in Quadrant 2 have negative x but
positive y coordinates.
 Points in Quadrant 3 have negative x and
negative y coordinates.
 Points in Quadrant 4 have positive x but
negative y coordinates.

X and Y Coordinates

X-Coordinate
 Tells
how far the point is to the right or left of
the y-axis
 The first number in the set

Y-Coordinate
 Tells
how far above or below the x-axis
 The second number in the set
(x-coordinate, y-coordinate)

Graph the following points:
(a)
(4, 2)
(4,-3)
(-4, -3)
(b)
(c)

If we have an equation with one variable,
then the solution is the one number that
makes the equation true.

If we have an equation with two variables,
then the solutions are the pairs of values
that make the equation true.
y=x+2
Y= 5 and x = 3 would make this statement
true along with y=6 and x=4, etc.
There are many pairs that make this
statement true. If we took those numbers
and plotted them on a coordinate plane,
they would form a straight line.

When graphing a line, you should find at
least three pairs of values.

Make a chart to keep up with which
numbers go together.
Example

y=x–2
Fill in chart!
xx
y
Now, graph the points on a coordinate plane.
Example
Y = 2x + 1
x
y