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rewona [7]
3 years ago
6

What is the slope of the line that passes through the points (-2,6) and (4,-2)?

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
4 0

Hello!

Step-by-step explanation:

Slope: \frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}

\frac{(-2)-6=-8}{4-(-2)=4+2=6}=\frac{-8}{6}=\frac{-8/2}{6/2}=\frac{-4}{3}=\frac{-4/2=-2}{3}=-\frac{2}{3}

<em><u>Slope is -2/3</u></em>

<em><u>Answer: -2/3</u></em>

Hope this helps!

Thanks!

-Charlie

:)

:D

Vitek1552 [10]3 years ago
3 0
You can calculate slope by using the following equation: m=\frac{ y_{2} -y_{1} }{x_{2}-x{1}} &#10;
m being the slope
So applying this to your problem, you would just divide -8 by 6, which gives you -1.33 as your slope.
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Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>5</u><u>9</u><u>,</u><u>2</u><u>7</u><u>5</u><u>.</u><u>7</u><u>4</u><u> </u><u>grams</u>

Step-by-step explanation:

• Molecular mass of carbon dioxide

= (12 \times 1) + (16 \times 2) \\  = 12 + 32 \\  = 44 \: g

[ molar masses: C = 12 g, O = 16 g ]

• From avogadro's number, it says 1 mole contains 6.02 × 10^23 molecules or atoms.

But 1 mole is equivalent to its molar mass in terms of weight, therefore;

{ \sf{6.02 \times  {10}^{23}  \: molecules = 44 \: g }}\\  { \sf{8.11 \times  {10}^{26}  \: molecules =( \frac{8.11 \times  {10}^{26} }{6.02 \times  {10}^{23} }   \times 44) \: g}} \\  \\  = { \boxed{ \boxed{ \bf{59275.7 \:  \: g}}}}

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Step-by-step explanation:

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7 0
3 years ago
write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9
photoshop1234 [79]

Answer:

\large\boxed{y=\dfrac{7}{2}x-18}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

3x+4x=2y-9

7x=2y-9             <em>add 9 to both sides</em>

7x+9=2y       <em>divide both sides by 2</em>

\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}

Parallel lines have the same slope. Therefore we have the equation:

y=\dfrac{7}{2}x+b

Put the coordinates of the point (4, -4) to the equation:

-4=\dfrac{7}{2}(4)+b

-4=7(2)+b

-4=14+b       <em>subtract 14 from both sides</em>

-18=b\to b=-18

Finally we have the equation:

y=\dfrac{7}{2}x-18

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Answer:

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Step-by-step explanation:

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