Question 1198524
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The question asks for an answer in both slope-intercept form and standard form, and the given equation is in standard form.  So the fastest path to the solution is to find the equation of the parallel line first in standard form.<br>
Given equation: x+3y=5<br>
Equation of parallel line through (-2,6): -2+3(6)=16, so x+3y=16<br>
Convert to slope-intercept form:
x+3y=16
3y=-x+16
y=(-1/3)x+16/3<br>
ANSWERS: y=(-1/3)x+16/3; x+3y=16<br>