Which line is perpendicular to the line y=-1/3x-2 and passes through point (1,4)
2 answers:
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is: </em></u>
y =
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope </em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b </em></u>
=>
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation: </em></u>
=> y = 3x+1
Answer :
<h2>
y = 3 x + 1 </h2>
Option C is the correct option .
Given that ,
Which is in the standard form
where , m = slope
c = y- intercept
Slope of perpen dicular lines is the product of slope is -1 .
Then , y = 3 x + c------ > equation ( i )
( X, y ) = ( 1 , 4 ) - - - - given
c = 4 -3x
c = 4 - 3 ( 1 )
c = 4 - 3
c = 1
Put this in equation ( i ) we get ,
<h2>
y = 3 x + 1 </h2>
This is the required equation of the line .
Hope this helps. . .
Good luck on your assignment . .
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