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Math Asked by a SnapAndSolve user · about 2 hours ago

Find the equation in point-slope form of the linear function represented in the table below. x | y -4 | 10...

2. Find the equation in point-slope form of the linear function represented in the table below.
x | y
-4 | 10
-2 | 6
0 | 4
2 | 0
y - 10 = -2(x + 4)
y = 2x + 2
y + 10 = 2(x - 4)
y - 10 = 2(x + 4)

Answer

To find the equation in point-slope form, we first calculate the slope (m) using two points from the table. Let's use the points (-4, 10) and (0, 4).

  1. Calculate the slope: m = (4 - 10) / (0 + 4) = -6 / 4 = -3/2
  2. Use the point-slope form: y - y₁ = m(x - x₁)
  3. Using point (-4, 10): y - 10 = -3/2(x + 4)

None of the given options match the calculated equation. Please check the options provided.

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