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andrey2020 [161]
2 years ago
12

What is the equation of a line in point-slope form passing through (-4,6) and (2, 3)?

Mathematics
2 answers:
777dan777 [17]2 years ago
7 0

The answer is y - 3 = -1/2 (x - 2).

First, let's find the slope.

  • m = y₂ - y₁ / x₂ - x₁
  • m = 3 - 6 / 2 + 4
  • m = -3/6
  • m = -1/2

Then, the point slope form will be :

  • y - 3 = -1/2 (x - 2)
Luba_88 [7]2 years ago
4 0

Answer: y=-0,5x+4.

Step-by-step explanation:

A(-4;6)\ \ \ \ B(2;3)\\Straight \ line\  equation\ is:\\\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1}} \\\frac{x-(-4)}{2-(-4)}=\frac{y-6}{3-6} \\ \frac{x+4}{2+4}=\frac{y-6}{-3}  \\\frac{x+4}{6}=\frac{y-6}{-3} \\ Multiply\  the\  left\  and\  right\  sides\  of\  the\  equation \ by\  -3:\\\frac{-(x+4)}{2} =y-6\\-0,5x-2=y-6\\y=-0,5x+4.

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iris [78.8K]

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292.6 I think

Step-by-step explanation:

to double check just add all sides up together

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Answer:

Step-by-step explanation:

22. √125 is closer to √121 or 11

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25. ∛430 is closer to ∛512 or 8

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3 years ago
At first an athlete jogs at 4 miles per hour and then jogs at 8 miles per​ hour, traveling 10 miles in 1.5 hours. How long does
polet [3.4K]

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distance =time *speed

from given question we have following equation

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4 years ago
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3 years ago
To work out the area in m² of material required for a pair of curtains, a seamstress squares the height of the window in m and a
Kisachek [45]

Answer:

a. Area = 1.94m²

b. Area = (p² + 0.5)m²

c. Height = 1.5m

Step-by-step explanation:

Given

<em>Let H represents Height and A represents Area</em>

<em>From the first and second statements, we have that:</em>

<em></em>A = H^2 + 0.5<em></em>

<em></em>

<em>a. Calculating Area When Height = 1.2</em>

<em></em>A = H^2 + 0.5<em></em>

<em>Substitute 1.2 for H</em>

<em></em>A = 1.2^2 + 0.5<em></em>

<em></em>A = 1.44 + 0.5<em></em>

<em></em>A = 1.94<em></em>

<em></em>

Hence, the area is 1.94m²

<em></em>

<em>b. Calculating Area When Height = p</em>

<em></em>A = H^2 + 0.5<em></em>

<em>Substitute p for H</em>

<em></em>A = p^2 + 0.5<em></em>

<em></em>

Hence, the area is (p² + 0.5)m²

<em></em>

c. <em>Calculating Height When Area = 2.75m</em>²

<em></em>A = H^2 + 0.5<em></em>

<em>Substitute 2.75 for A</em>

<em></em>2.75 = H^2 + 0.5<em></em>

<em>Subtract 0.5 from both sides</em>

<em></em>2.75 - 0.5 = H^2 + 0.5 - 0.5<em></em>

<em></em>2.75 - 0.5 = H^2<em></em>

<em></em>2.25 = H^2<em></em>

<em></em>

<em>Take Square Root of both sides</em>

<em></em>\sqrt{2.25} = \sqrt{H^2}<em></em>

<em></em>\sqrt{2.25} = H<em></em>

<em></em>1.5 = H<em></em>

<em></em>H = 1.5<em></em>

<em></em>

Hence, the height is 1.5m

5 0
3 years ago
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