The slope between the points (-1,-5) and (r, -9) is 2. What is the value of r?

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

r = 2

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

(-1, -5)

(r, -9)

-5 - (-9) / -1 - r = 2

4 / -1 - r = 2

r = -2

-1 - (-3) = 2

4 / 2 = 2

Please let me know if I've gotten anything wrong!

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Find the length of a segment with endpoints Y(2, 8) and Z(- 2, 5) .

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<em>The distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Explanation:</h2>

Endpoints of a Line segments are places where they end or stop. Line segments are named after their endpoints. In this case, those endpoints are Y and Z, so the line segment would be:

$\overline{YZ} \ or \ \overline{ZY}$

To find the length of this segment with endpoints Y(2, 8) and Z(-2, 5), let's use the Distance Formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$Let's \ write: \\ \\ Y(x_{1},y_{1}) \rightarrow Y(2, 8) \\ \\ Z(x_{2},y_{2}) \rightarrow (-2, 5) \\ \\ \\ Substituting: \\ \\ d=\sqrt{(-2-2))^2+(5-8)}^2 \\ \\ d=\sqrt{(-4)^2+(-3)^2} \\ \\ d=\sqrt{16+9} \\ \\ d=\sqrt{25} \\ \\ \boxed{d=5}$