4. Equations of two variables
To “solve” this, we need to
find values of both x and y
that satisfy the equation.
32xy
We then write these solutions as
coordinate points (ordered pair)
5. Equations of two variables
For most multi-variable
equations, there can be an
infinite number of solutions.
32xy
6. Equations of two variables
First, can we find any
solutions to this equation?
32xy
7. Equations of two variables
Next, we need to be able to
verify if an ordered pair is a
solution to the equation
32xy
9. Graphing Equations
To graph an equation in two variables is to
plot the points whose ordered pairs are
solutions to the equation
This can be done with a “T-Chart”
12. Intercepts
The x-intercept of a graph is the x-
coordinate of where the graph crosses the
x-axis
The y-intercept of a graph is the y-
coordinate of where the graph crosses the
y-axis
13. Intercepts
To find the x-intercept:
• Set y = 0
• Solve for x
To find the y-intercept:
• Set x = 0
• Solve for y
0,x
y,0
