Question

If (2,-3) is the foot of the perpendicular from (-4,5) on a line then its equation is
O (a) 3.x - 4y+28 - 0
(b) 3.- 4y - 18 - 0
(c) 3.2.- 4y+180
(d) 3r-4-170
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Clear Response​

Answer 1

Step-by-step explanation:

We are going to find slope of AB

m

AB

=

−4−2

5−(−3)

⇒ m

AB

=

−6

8

∴ m

AB

=

3

−4

Now,

m

L

×m

AB

=−1

⇒ m

L

×(

3

−4

)=−1

⇒ m

L

=

4

3

The required equation,

⇒ y−y

1

=m

L

(x−x

1

)

⇒ y−(−3)=

4

3

(x−2)

⇒ 4(y+3)=3x−6

⇒ 4y+12=3x−6=0

⇒ 3x−4y−18=0

Answer 2

Answer:

The answer is a 3.2 4y+180

Option C