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yanalaym [24]
3 years ago
15

Find the slope of the line that passes through (9, 4) and (4, 12).

Mathematics
2 answers:
Vlad [161]3 years ago
6 0

Answer:Answer as a proper fraction is 8/-5;

As an improper fraction is - 1 3/5;

As an integer, we will approximate the slope value from -1.6 to -2....

Step-by-step explanation:

Given the points (9,4) and (4,12), find the slope:

Slope= change in y/ change in x.

y2 - y1/x2 - x1

Step 1: Locate the coordinates points:

x1= 9, x2= 4

y1=4, y2= 12

Step 2:Insert the values into the formula Slope =12-4/4-9

=8/-5

Answer as a proper fraction is 8/-5

As an improper fraction is - 1 3/5

As an integer, we will approximate the slope value from -1.6 to -2.

I hope this helps .

dezoksy [38]3 years ago
5 0

Answer:

-8/5 = -1 and 3/5

Step-by-step explanation:

slope = change in y/change in x = (4-12)/(9-4) = -8/5 = -1 and 3/5

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2/3x + 1/6 = -3/4x + 1
kupik [55]
\frac{2}{3} x +  \frac{1}{6}  =  -\frac{3}{4} x + 1

First, simplify \frac{2}{3} x to \frac{2x}{3} / Your problem should look like: \frac{2x}{3} +  \frac{1}{6} =  -\frac{3}{4} x + 1
Second, simplify \frac{3}{4} x to \frac{3x}{4} / Your problem should look like: \frac{2x}{3} +  \frac{1}{6} =  -\frac{3x}{4} + 1
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like: 8x + 2 = -9x + 12
Fourth, subtract 2 from both sides. / Your problem should look like: 8x = -9x + 12 - 2
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like: 8x = -9x + 10
Sixth, add 9x to both sides. / Your problem should look like: 8x + 9x = 10
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8 0
3 years ago
Which of the following sets of values correctly completes the T chart for the equation Y =|3x+1|. -5,1,7
Ivahew [28]

Option C:

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Solution:

Given equation:

y = |3x + 1|

In the chart, x values are given as –2, 0, 2.

To find the value of y for the corresponding x given.

Substitute x  = –2 in the equation of y.

y = |3(–2) + 1|

  = |–6 + 1|

  = |–5|   (Absolute value of a negative number is positive)

y = 5

Substitute x  = 0 in the equation of y.

y = |3(0) + 1|

  = |0 + 1|

  = |1|

y = 1

Substitute x  = 2 in the equation of y.

y = |3(2) + 1|

  = |6 + 1|

  = |7|   (Absolute value of a negative number is positive)

y = 7

Option C is the correct answer.

The values of y are 5, 1, 7.

The answer image of the table is attached below.

8 0
3 years ago
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