SOLUTION: Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible: Through (-4,1), parallel to x+3y=5

Question 483467: Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible:
Through (-4,1), parallel to x+3y=5
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible:
Through (-4,1), parallel to x+3y=5
-----------------
Slope of the given line = ?
y = (-1/3)x + (5/3)
---
slope = -1/3
----
Any line parallel to the given line must have slope = -1/3
------------------------------------
Equation Form:
y = mx + b
Solve for "b":
1 = (-1/3)(-4) + b
---
1 = (4/3) + b
b = -1/3
-------------
Equation:
y = (-1/3)x - (1/3)
======================
Cheers,
Stan H.
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