Write the equation of a line that is perpendicular to the given line and that passes through the given point. Write your equation in point-slope form. Y – 10 = 3/2 (x – 4) ; (4, 2)

Question

anonymous · Answer

@Michele_Laino

michele_laino · Answer

please note that your slope m, has to satisfy the subsequent condition:
$$m*\frac{ 3 }{ 2 }=-1$$
so, what is m?

michele_laino · Answer

please try!

anonymous · Answer

The slope (m) is 3/2 !

michele_laino · Answer

sorry, you have to solve the eqaution above in order to find m, please try!

anonymous · Answer

The slope is 3/2. It's in the equation.

michele_laino · Answer

I know, but your equation has a different slope, because your line has to be perpendicular not parallel

anonymous · Answer

The answer is Y – 2 = -2/3 (X – 4) but I don't know how.

michele_laino · Answer

please solve this equation for m:
$$m*\frac{ 3 }{ 2 }=-1$$
so you will find your slope m

anonymous · Answer

I just stated above that I found the answer:  Y – 2 = -2/3 (X – 4) all I need to know is how is that the answer?

michele_laino · Answer

from the equation above we have:
$$m=-\frac{ 2 }{ 3 }$$

anonymous · Answer

@Michele_Laino Yes

michele_laino · Answer

now, please apply this equation:
$$y-y _{1}=m(x-x _{1})$$
where m is your slope

anonymous · Answer

Y – 2 = -2/3 (X – 4)

michele_laino · Answer

and (x_1,y_1) is your point

michele_laino · Answer

did you get the right answer?

anonymous · Answer

Yes.  Y – 2 = -2/3 (X – 4) is the right answer. What I've been trying to figure out is HOW that is the correct answer?

michele_laino · Answer

have you understand how?

michele_laino · Answer

did you understand how to figure out?