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asambeis [7]
3 years ago
8

Slope point - through:(3,-1) and (-1,-4)

Mathematics
2 answers:
vladimir2022 [97]3 years ago
8 0

Answer:

the slope of the line is :-

=》

\frac {3}{4} \:  \: or \: 0.75

Step-by-step explanation:

the slope of the line is :-

=》

\frac{y2 - y1}{x2 - x1}

=》

\frac{ -  4 - ( - 1)}{ - 1 - 3}

=》

\frac{ - 4 + 1}{ - 4}

=》

\frac{3}{4}

=》

0.75

ivann1987 [24]3 years ago
7 0

Answer:

  • m = 3/4 or 0.75

Step-by-step explanation:

<u>Use slope formula:</u>

  • m = (y₂ - y₁)/(x₂ - x₁)

<u>Substitute values of coordinates:</u>

  • m = (-4 - (-1))/(-1 - 3) = -3/-4 = 3/4 or 0.75
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7x+1/2(x+1/4)=3(6x-9)-8
ycow [4]

Answer:

x = 381/24 = 3 29/84

Step-by-step explanation:

7x + 1/2(x + 1/4) = 3(6x - 9) - 8

<em>Use the distributive property to multiply 1/2 by x + 1/4.</em>

7x + 1/2x + 1/8 = 3(6x - 9) - 8

<em>Combine 7x (14/2x) and 1/2x to get 15/2</em>.

15/2x + 1/8 = 3(6x - 9) - 8

<em>Use the distributive property to multiply 3 by 6x - 9.</em>

15/2x + 1/8 = 18x - 27 - 8

<em>Subtract 8 from -27 to get -35.</em>

15/2x + 1/8 = 18x - 35

<em>Subtract 18x from both sides.</em>

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<em>Subtract 1/8 from both sides.</em>

-21/2x = -35 - 1/8

<em>-35 is the same as -280/8</em>.

-21/2x = (-280 - 1)/8

<em>Subtract 1 from -280 to get -281.</em>

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<em>Multiply both sides by -2/21 (reciprocal of -21/2).</em>

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<em>You can cross cancel -2 and 8</em> <em>by extracting 2 (they become -1 and 4 respectively).</em>

x = (-281 * -1)/(4 * 21)

<em>Multiply -281 by -1 to get 281.</em>

x = 281/(4 * 21)

<em>Multiply 4 by 21 to get 84.</em>

x = 281/84

<em>Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)</em>

x = 3 29/84

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2118/84 = (2790 - 672)/84

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Step-by-step explanation:

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