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Ksenya-84 [330]
11 months ago
7

Find the slope of the line that passes through the two given points. (−5,4) and (1,6)

Mathematics
1 answer:
OLga [1]11 months ago
5 0

slope is 1/3

Explanation:\text{The given points: (-5,4) and (1, 6)}

We apply the slope formula:

slope=m\text{ = }\frac{y_2-y_1}{x_2-x_1}\begin{gathered} x_1=-5,y_1=4,x_2=1,y_2\text{ = }6 \\ m\text{ = }\frac{6\text{ - 4}}{1\text{ - (-5)}} \\ m\text{ }=\text{ }\frac{2}{1+5} \\  \end{gathered}\begin{gathered} m\text{ = 2/6} \\ m\text{ = 1/3} \\  \\ \text{Hence, slope is 1/3} \end{gathered}

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Slav-nsk [51]

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3 years ago
The manager of a furniture factory finds that it costs $2400 to manufacture 60 chairs in one day and $4800 to produce 260 chairs
tamaranim1 [39]

Answer:

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Intercept = 1680

Step-by-step explanation:

Given that:

X1 = 60 chairs ; y1 = 2400

X2 = 260 chairs ; y2 = 4800

Obtain the slope ; m

m = y2 - y1 / x2 - x1

m = 4800 - 2400 / 260 - 60

m = 2400 / 200

m = 12

Using the point slope relation:

y - y1 = m(x - x1)

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C(x) = 12x + 1680

From the general slope intercept equation :

y = mx + c

m = slope ; c = intercept

Hence,

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

5 0
2 years ago
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