Question

Given a triangle A ( 0,4),B(-4,9) and c (-2,-1) find the equation of altitude through​

Answer 1

Answer:

Given, vertices of a triangle are A(10,4)B(4,−9)andC(−2,−1)

Now,

Slope of line BC(m

1

)=

(−2−4)

(−1+9)

=

(−6)

8

=

3

−4

Let the slope of the altitude from A(10,4) to BC be m

2

Then, m

1

×m

2

=−1

(

3

−4

)×m

2

=−1

m

2

=

4

3

So, the equation of the line will be

y−4=

4

3

(x−10)

4y−16=3x−30

3x−4y−14=0