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2 years ago

The midpoint of a segment with endpoint (8,a) and (b,4) is (-1,-1)

Mathematics

1 answer:

GalinKa [24]2 years ago

3 0

Answer:

(-10,-6)

Step-by-step explanation:

(8 + b) / 2 = - 1

(8 + b) = - 1 * 2

8 + b = - 2

b+8-8 = -2 - 8

b = - 10

=====================

(a + 4)/2 = -1

(a + 4) = - 2

a + 4 = -2

a + 4-4 = - 2 - 4

a = - 6

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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-

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so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)$

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1 year ago

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Paha777 [63]

Answer:

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Step-by-step explanation:

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Answer:

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