In algebra now I’m solving some equations with 2 variables.
x + y = 10
Here are some of the solutions to this equation:
As you can see there are infinite solutions (x,y) to this equation. In fact, there are infinite solutions to any equation with an x and y.
The best way to describe these solutions is with a graph.
This graph is always a straight line that extends in both directions to infinity.
The easiest way to draw these lines is by computing the x and y intercepts.
All you have to do is set x equal to 0 and solve for y. Then set y equal to 0 and solve for x.
Then you have two points that you can connect to draw the infinite line!
For example, the intercepts of x + y = 10 are (0,10) and (10,0).
The other common way to graph a line is with slope-intercept form: y = mx + b where m is the slope of the line and b is the y-intercept.