Question 428573
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What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

Equation that sought-equation is parallel to: 4x + y - 2 = 0, or in STANDARD form: 4x + y = 2
As the lines are parallel, left-side of sought-equation is the same.
We then get: 4x + y = 4(x) + y
             4x + y = 4(4) + - 3 ----- Substituting given point, (4, - 3), on right-side
             4x + y = 16 - 3
           <font color = red><font size = 4><b>4x + y = 13</font></font></b> <=== Sought-equation, in STANDARD FORM</pre>