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qwelly [4]
3 years ago
14

Write an equation of the line given the two points below (Write your equation in slope-intercept form, y=mx+b): (-4, 4) and (6,

-4)
Mathematics
2 answers:
kari74 [83]3 years ago
4 0

Answer:

m = -0.8

Step-by-step explanation:

Use slope formula: (y2 - y1) / (x2 - x1)

Apply formula: ( 8 ) / (-10)

Simplify: -4 / 5

Please mark for brainliest!! :D Thanks!

For any more questions or explanation / information, please comment below and I'll respond ASAP :)

DaniilM [7]3 years ago
3 0

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-4}{6-(-4)}\implies \cfrac{-8}{6+4}\implies \cfrac{-8}{10}\implies -\cfrac{4}{5}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-\cfrac{4}{5}[x-(-4)]\implies y-4=-\cfrac{4}{5}(x+4) \\\\\\ y-4=-\cfrac{4}{5}x-\cfrac{16}{5}\implies y=-\cfrac{4}{5}x-\cfrac{16}{5}+4\implies y=-\cfrac{4}{5}x+\cfrac{4}{5}

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What is the gcf of 32 and 48
pentagon [3]
The Greatest Common Factor of 32 and 48 is 16.

First, get the factors of both numbers:

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The common factors are: 1, 2, 4, 8, 16

Among the common factors, the GCF is 16.
8 0
3 years ago
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Ipatiy [6.2K]
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2 years ago
The sum of two numbers is "-1" One number is 12 more than the other one. Find the numbers.
ruslelena [56]

Answer:

x = 5.5

y = - 6.5

Step-by-step explanation:

Let one of the numbers = x

Let the other number = y

x + y = - 1

x = y + 12    Put the second equation into the first one

y + 12 + y = - 1       Subtract 12 from both sides

y + y = - 1 - 12        Combine both left and right sides

2y = - 13                Divide by 2

2y/2 = - 13/1

y = - 6.5

x + y = - 1

x - 6.5 = - 1            Add 6.5 to both sides

x = 5.5

7 0
3 years ago
Show all of your work. Simplify the expression: - 3a + 7 + 5a​
Eva8 [605]

Answer:

2a + 7

Step-by-step explanation:

-3a + 7 +5a

<em>subtract the negative 3 from the 5</em>

2a + 7

4 0
2 years ago
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How to find slope within two sets of points
EastWind [94]

The slope within two sets of points is calculated using the slope equation m = \frac{y_2 -y_1}{x_2 -x_1}

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

m = \frac{y_2 -y_1}{x_2 -x_1}

Hence, the equation of two sets of points is m = \frac{y_2 -y_1}{x_2 -x_1}

Read more about slopes at:

brainly.com/question/1884491

#SPJ1

3 0
2 years ago
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