Find the slope of the line that passes through the points shown in the table.

Mathematics

2 answers:

Semenov [28]3 years ago

8 0

Answer:

it would be -2/7

Step-by-step explanation:

Fed [463]3 years ago

4 0

Answer: -2/7
This value is a fraction.

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Work Shown:

The first two rows in the table produce these two points (x1,y1) = (-14,8) and (x2,y2) = (-7,6)

So, x1=-14, y1=8, x2=-7, and y2=6

Plug these four values into the slope formula and simplify
m = (y2 - y1)/(x2 - x1)
m = (6 - 8)/(-7 - (-14))
m = (6 - 8)/(-7 + 14)
m = -2/7

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If T is the midpoint of SU find the values of x, ST and SU.

Nitella [24]

Answer: The required values are

x = 12 units, ST = 60 units and SU = 120 units.

Step-by-step explanation: Given that T is the midpoint of SU, where

ST = 5x and TU = 3x + 24.

We are to find the values of x, ST and SU.

Since T is the midpoint of SU, so we get

$ST=TU\\\\\Rightarrow 5x=3x+24\\\\\Rightarrow 5x-3x=24\\\\\Rightarrow 2x=24\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12.$