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ElenaW [278]
3 years ago
7

Find the slope of the line that is parallel and perpendicular -7x-2y=4

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\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} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{7}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{7}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{7}}}

now, what's the slope of a line parallel to that one above?  well, parallel lines have exactly the same slope.

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Answer: $1.75

Step-by-step explanation:

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2 years ago
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6 0
3 years ago
3y=24 solve by inspection
Ulleksa [173]

Explanation: Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

a÷c=b÷c for c≠0

<u><em>First, you divide by 3 both sides of an equation.</em></u>

<u><em>3y/3=24/3</em></u>

<u><em>Then, simplify.</em></u>

<u><em>24/3=8</em></u>

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<u><em>24/8=3</em></u>

<u><em>y=8 is the final answer.</em></u>

<u><em>Hope this helps!</em></u>

<u><em>Thanks!</em></u>

<u><em>Have a great day!</em></u>

6 0
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