If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2

Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: $-5y=-2x+8$

Next, divide both sides by -5 and your slope-intercept form is $y=\frac{2}{5}x+\frac{8}{5}$

Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>

It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:

$6x-3y=15 \\-3y=-6x+15\\y=2x-5\\\\2x+4y=-12\\4y=-2x-12\\y=-\frac{1}{2}x-3$

Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>

5 0

3 years ago

What two numbers add to -36 and<br> multiply to 35?

andreyandreev [35.5K]

-1, -35.

When you multiply two negative numbers, you get a positive result.

3 0

3 years ago

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