Question from SAT I took 5 hours ago

Test Preparation SAT Preparation
1

<p>2 lines L and M. They aren’t necessarily parallel. line L has a function .5x+B=y and line M has a function mx+C=y. If line L is shifted horizontally to the right by 6 what is B-C equal to? the choices are A)something B)something C) 6 D) 6times square root of 2 E)6 times square root of 3</p>

<p><a href=“https://scontent-b-iad.xx.fbcdn.net/hphotos-xpf1/v/t34.0-12/10416833_256493987889710_364541347_n.jpg?oh=c13abba399deb6600885634af2649945&oe=53951314”>https://scontent-b-iad.xx.fbcdn.net/hphotos-xpf1/v/t34.0-12/10416833_256493987889710_364541347_n.jpg?oh=c13abba399deb6600885634af2649945&oe=53951314&lt;/a&gt;&lt;/p&gt;

2

<p>It was 3</p>

3

<p>how’d you get 3?</p>

4

<p>oh and i forgot to put for the question that line L coincided with line M after shifting.
So… does that mean that L converged with line M, that they became the same line? If it is then wouldn’t the 2 lines have the same slope?</p>

5

<p>Uhmmm idk how well i can explain this, but you know the slope is 1/2 or change in y/change in x, and the horizontal shift is 6, which is the change in the x-coordinate. So the change in y has to be 3, to satisify the slope of 1/2, and a change in the y coordinate is what you wanted</p>

6

<p>You could also just draw a triangle. The horizontal leg is 6, the vertical leg is t-b, and the hypotenuse will always be sqrt(45) after doing distance formula with any number according to the provided equations. The just use Pythagorean theorem: 45-6^2 = 45-36 = 9, and sqrt(9) is 3, the previously mentioned vertical leg, aka t-b.</p>