![]() Therefore, by Vieta's formula the sum of all the possible values of \(k\) is \(1. Then since this line is parallel to the line \(2x-3y-8=0\) or \(y=\frac\] are perpendicular to each other?įor the two lines to be perpendicular, it must be true that \ Let \(y=ax b\) be the equation of the line of interest. We can do this by writing both equations in the form . Click hereto get an answer to your question Which of the following equations represents a line that is parallel to the line with equation y - 3x . The current flowing in resistor R2 is given as: IR2 VS R2 12V 47k 0.255mA or 255A. What is the equation of the line that is parallel to the line \(2x-3y-8=0\) and passes through the point \((3, 5)?\) To determine if the lines are parallel or perpendicular, we first want to find their slopes. By using Ohm’s Law, we can calculate the current flowing through each parallel resistor shown in Example No2 above as being: The current flowing in resistor R1 is given as: IR1 VS R1 12V 22k 0.545mA or 545A. ![]() Since the two lines have the same slope and different \(y\)-intercepts, the two lines are parallel. Watch the video tutorial below to understand how to do these problems and, if you want, download this free worksheet if you want some extra practice. In a parallel circuit each component has the same voltage across it, so the current flowing through it is independent of the others. In the above image, the slope-intercept form for the two lines are Parallel
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