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NeX [460]
3 years ago
8

Find the slope for a line that passes through points (-3,-6) and (2,-8).

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0

Answer:

\rm{-\frac{2}{5}

Step-by-step explanation:

Hi there!

We are given two points that the line passes through, and asked to calculate the slope.

We can easily calculate the slope using the given formula:

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

Plug in the values:

\displaystyle\frac{-8-(-6)}{2-(-3)} \\
\displaystyle\frac{-8+6}{2+3} \\
\displaystyle\frac{-2}{5} \\
\displaystyle\frac{-2}{5}

Thus, \rm{-\frac{2}{5} is our answer.

\star\starHope it helps! Enjoy your day!

\bold{GazingAtTheStars(:}

Anna [14]3 years ago
3 0

Answer:

\frac{-2}{5}

Step-by-step explanation:

The equation for slope is:

Slope = \frac{y_{2}- y_{1} }{x_{2}- x_{1} }

We can plug in the given coordinates into the equation:

Slope = \frac{-8-(-6)}{2-(-3)} = \frac{-8+6}{2+3} =\frac{-2}{5}

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<h2>Answer:</h2>

LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution

<h2>Step-by-step explanation:</h2>

From this problem, we know that:

LR = 12

PR = 4

So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:

LP + PR = LR

By substituting LR = 12 and PR = 4, we have:

LP + 4 = 12

Subtracting 4 from both sides:

LP + 4 - 4 = 12 - 4

LP + 0 = 8

Finally:

LP = 8

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