Answer: y = 3x+3
Step-by-step explanation
The idea is to solve for y
3x - y = -3
-y = -3-3x
-y = -3x-3
y = (-3x-3)/(-1)
y = 3x+3
The equation is now in slope-intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, it is a coincidence the slope and y intercept are the same number. This won't always happen.
Extra info:
- The line goes through (0,3) and (1,6)
- The x intercept is located at (-1,0)
- GeoGebra and Desmos are two graphing options I recommend to use for problems like this.