Question 1204094
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Answer:   <font color=red size=4>y = 4x+5</font>


Explanation


Anything parallel to Ax+By = C is of the form Ax+By = D, where {{{C <> D}}}


For this particular problem, we can say anything parallel to {{{4x-y = 3}}} will look like {{{4x-y = D}}} where {{{D <> 3}}}


Plug in the coordinates of (x,y) = (0,5) so we can compute D.
{{{4x-y = D}}}


{{{D = 4x-y}}}


{{{D = 4*0-5}}}


{{{D = -5}}}


We go from {{{4x-y = D}}} to {{{4x-y = -5}}} as the parallel equation in standard form.


Isolate y to get slope-intercept form.
{{{4x-y = -5}}}


{{{4x = -5+y}}}


{{{y = 4x+5}}}
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