Answer:
Explanation:
Let's write everything in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept.
x+3y=15
3y= -x + 15
y = (-1/3)x + 5
Parallel lines will have the sam slope, in this case -(1/3), So the new line will be:
y = (-1/3)x + b
We need to fijnd a value of b that will force the ine through point (6,1). Enter (6,1) in the equation and solve for b:
y = (-1/3)x + b
1 = (-1/3)(6) + b
1 = (-2) + b
b = 3
The parallel line is:
y = (-1/3)x + 3
See the attached graph.