If

Question

If <F is a right <, Find the slope of FH.
E=(2,7)
F=(4,3)

daisy.xoxo619 · Answer

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mathstudent55 · Answer

@Daisy.xoxo619 Come back here, and I'll help you.

daisy.xoxo619 · Answer

im back

mathstudent55 · Answer

Ok.
Yesterday I mentioned something about the slopes of perpendicular lines.
Do you remember it?

daisy.xoxo619 · Answer

yes negative recp. right

mathstudent55 · Answer

Great.
We don't have enough information to find the slope of FH directly because we only know one point of FH, point F(4, 3).

mathstudent55 · Answer

On the other hand, we do have enough info about line EF because we have two points on that line.
We also know that line EF is perpendicular to line FH.
Once we find the slope of EF using two points, then we can find the line of FH.

daisy.xoxo619 · Answer

slope of EF =-2

mathstudent55 · Answer

Let's first find the slope of line EF:

$m = \dfrac{y_2 - y_1}{x_2 - x_1} $

We divide the difference in y values by the difference in x values.

$m = \dfrac{7 - 3}{2 - 4}  = \dfrac{4}{-2} = -2$

You are correct.

Now we find the slope of FH using what you wrote about.
The slopes are negative reciprocals.

mathstudent55 · Answer

Write the slope of EF as a fraction:

$-\dfrac{2}{1} $

Flip it:

$-\dfrac{1}{2} $

Change the sign:

$\dfrac{1}{2} $

That's the slope of FH.

daisy.xoxo619 · Answer

ok thanks:) Can you help me on another problem Ill post  in a moment.

mathstudent55 · Answer

Ok. pls start a new post for each new problem.

mathstudent55 · Answer

You're welcome.