Determine if the following equations form a perpendicular line or not

If two lines are perpendicular, then they will have slopes that are negative reciprocals 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:

Next, divide both sides by -5 and your slope-intercept form is

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

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

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

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step-by-step explanation: