SOLUTION: Graph the equations given below using the indicated method x = -3 y = 2

Algebra ->  Linear-equations -> SOLUTION: Graph the equations given below using the indicated method x = -3 y = 2       Log On


   

Question 147915: Graph the equations given below using the indicated method
x = -3
y = 2
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
x = -3
y = 2

These basically translate into x = -3 when y is whatever, or (-3,whatever) and
y = 2 when x is whatever, or (whatever,2). So you would graph each line normally. Let's do x=-3 first. All you have to do is make sure x=-3. Y can be any old thing. Let's see what it would look like:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
this equation defines a vertical line.

  • X intercept: -3. X intercept is the intersection of the line with the x axis.

  • Y intercept: not defined (the line IS vertical)

  • Slope: not defined, can be thought of as infinite

graph%28+500%2C+500%2C+-3-5%2C+-3%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A-3+%29+

See? Y can be anything as long as x=-3 is true.
Now let's do y=2. Again, same concept. As long as y=2, x can be any old thing. Let's see what it would look like:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
This equation defines a horizontal line. There is no X intercept. Y intercept is 2%2F1=2
graph%28+500%2C+500%2C+-10%2C+10%2C+2+-+10%2C+2%2B10%2C+2%2F1+%29+

This time x can be anything as long as y=2 is true.
**Rule of thumb, if an equation is simply x=something or y=something, the line will just mirror the opposite axis, while running through the indicated point on the corresponding axis. In other words, the line x=-3 mirrors the y axis and runs through the given point -3 on the x axis, and the line y=2 mirrors the x axis and runs through the given point 2 on the y-axis. The graphs illustrate that nicely.