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Jlenok [28]
3 years ago
7

Please help me I'm confused :((

Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

Answer:

k = 14

Step-by-step explanation:

<u>Use the first two points to get a formula of the line E(5, 12), F(-1, 8)</u>

  • y = mx + b is the slope-intercept formula

<u>m</u><u> is found using two points as:</u>

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m = (8 - 12)/(-1 -5) = -4/6 = -2/3

<u>The formula becomes:</u>

  • y = -2/3x + b

<u>Then we find the value of </u><u>b</u><u> using one of the points. Let's use point E(5, 12)</u>

  • 12 = -2/3*5 + b
  • 12 = -10/3 + b
  • b = 12 + 10/3 = 46/3

<u>So the formula now is:</u>

  • y = -2/3x + 46/3

<u>To find the missing coordinate we substitute x with 2 and y with k:</u>

  • k = -2/3*2 + 46/3 = - 4/3 + 46/3 = 42/3= 14
  • k = 14
Iteru [2.4K]3 years ago
5 0
Plot points E and F on a graph. Point G will be located is you draw a line through Points E and F.
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Simplifying
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