Find equation of the line parallel to the line $3 x-4 y+2=0$ and passing through the point $(-2,3)$.

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Geometry

NCERT Class 11 - Math

Chapter 10

Straight Lines

Section 3

Various Forms of the Equation of a Line

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Video Transcript

have to find out the equation of the line which is parallel to the line three x minus 45 plus two equal to zero. And it also passes through the point minus two comma three. Right, So now, let the question of the line A B B three x minus four, Y plus two equal to zero. And let point B B p minus two comma three. This is point B over hill. And let's say this is the question of the line. A. B. All right. So now let the nine CB people palette to line A. B and passing through the point P. Right? So now that means we will find out the question of the line cd over here. Now we know that if two lines such as parallel to each other, then the slopes are equal. Right? This is just that your um you can see when two lines are Thailand, then the slopes are equal to each other. Right? Mhm. So, therefore, if you just talk about the two lines, since lying cds palette to dine a bugle here, that means slope of C B C. I'm just taking Syria as a required line. Right. So slope of C. D. Will people to slope off a B. Let's say this is a question one. Now, just find out the slope of a B first. Okay, fine slope off Evie. So now the equation of the line maybe over here is three X minus four. Y plus two equal to zero. Or you can say three X plus two equal to four, wife. All right, you can just divide both the sides of the equation by four. So, I'm doing that. We'll get three upon four times X plus one upon to equal to why all you can see why is equal to three upon four times X plus 1.2. So, this question is of the phone why? equal to mx plus C. Where obviously and mr slow. So that means the scope of the line. The slope over here is going to three upon four. So now you don't know the slope of the like. So now since the slope of lying maybe is according to three upon four, that means the slope of the other line that is C. B. I resumed is also equal to 3.4. Now the question of a line passing through the point, it's not comma by not and having this group of empty is given by y minus. Why not? Is going to end times? It's minus, it's not Okay. So now a question of a line cd passing through the point he was given to us as minus two comma three. And the slope over here is three upon four. So you just have to plug in the values over here. So we'll get why minus three is equal to Slope is three upon 4 times eight plus. So this further, you can just multiply both sides by four so we'll get four by minus 12 is a call to three x plus six. Or you can say three x minus four, Y plus 18 is equal to zero. So this will be the required a question of the line for you. Yeah.

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