Combine like terms: y + 6 + 2(y + 8)
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- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.
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
<h2>6.</h2>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 <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>
<h2>7.</h2>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 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>
3, 5 and 7 are three prime numbers. The least common multiple of prime numbers is simply the product of the numbers themselves: so you have