Question 1182886
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The process used by the other tutor is valid; but as usual her work contains errors, leading to a wrong answer.<br>
But her process is not very efficient; it is not necessary to find the slope of the given line to solve the problem.<br>
Instead, use the fact that any line parallel to the given line 4x-5y-10=0 will have an equation of the form 4x-5y+C=0.  Plug in the coordinates of the given point to find the value of C to complete the equation.<br>
4(0)-5(-3)+C = 0
15+C = 0
C = -15<br>
ANSWER: 4x-5y-15=0<br>