SOLUTION: Write a slope-intercept equation for a line parallel to the line x + 4y = 7 which passes through
the point (12, –7).
Algebra.Com
Question 1023370:  Write a slope-intercept equation for a line parallel to the line x + 4y = 7 which passes through
the point (12, –7). 
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
 A couple of ways to do this...anyway, from standard form, we know the slope is
m = -A/B = -1/4
Parallel lines have equal slopes...
Now use y = mx + b to find b...like this...
-7 = (-1/4)(12) + b
-7 = -3 + b
-4 = b
and our line is
y = (-1/4)x - 3 
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