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Viefleur [7K]
3 years ago
13

Determine the slope of the line that passes through the points (5,7) and (-1,9).

Mathematics
1 answer:
oee [108]3 years ago
4 0

Hey!

------------------------------------------------

Slope Formula: m = \frac{y2 - y1}{x2 - x1}

------------------------------------------------

Solution:

m = \frac{y2 - y1}{x2 - x1} \\m = \frac{9 - 7}{-1 - 5}\\m = \frac{2}{-6} \\m = \frac{1}{-3}

------------------------------------------------

Answer:

\large\boxed{-\frac{1}{3} }

------------------------------------------------

Hope This Helped! Good Luck!

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6. The line that contains the orthocenter in ΔABC is: <em>line m.</em>

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8. The line that contains the centroid in ΔABC is: <em>line n.</em>

<h3>What is the Circumcenter of Triangle?</h3>

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

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<h3>What is the Orthocenter of a Triangle?</h3>

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

  • The line that contains the orthocenter in ΔABC is: <em>line m.</em>

<h3>What is the Centroid of a Triangle?</h3>

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  • The line that contains the centroid in ΔABC is: <em>line l.</em>

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Learn more about centers of a triangle on:

brainly.com/question/16045079

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Step-by-step explanation:

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erastova [34]

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

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