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4 years ago

8

14. Find the slope of a line parallel to 3y - 6x = 9. (Lesson 3-4)

1 answer:

DanielleElmas [232]4 years ago

4 0

$\bf 3y-6x=9\implies 3y=6x+9\implies y=\cfrac{6x+9}{3}\implies y = \cfrac{6x}{3}+\cfrac{9}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{2}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

a parallel line to that one above, will have the same exact slope, since parallel lines have the same slope.

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Solve for x:<br><br> 3x – 14 = -5x + 2

dalvyx [7]

Hello there!

$3x-14=-5x+2$

Add 5x to both sides:

$3x-14+5x=-5x+2+5x\\8x-14=2$

Add 14 to both sides:

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Now divide both sides by 8:

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In our last step, we will simplify 16/8:

$\frac{16}{8}=2\\ x=2$

Hope this helps!

$AT2309$

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