Question

Describe how to graph a line given an equation in standard form.

Answer 1

This is pretty simple. So a standard form equation is probably something like this: 2x+8y=10. 
We have to get that equation right there into a slope intercept, which is just isolating the variable y. 
 2x+8y=16    
-2x        -2x       Subtract the x value. 
------------------
 (8y=16-2x)/8  Divide the whole equation by 8 to isolate the y value.  
------------------
 y=2-1/4x
------------------
The fraction with the variable x is the slope. In this case, the slope is -1/4, so meaning it goes down one unit and goes right 4. 
------------------
The 2 is the y-intercept. (0, 2)