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Select the equation that contains the points, (-2, -2) and (4, 10).

Select the equation that contains the points, (-2, -2) and (4, 10).-example-1

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The equation that contains the points (-2, -2) and (4, 10) is y - 6 = 2(x - 2).

Here's how we can find the equation:

Calculate the slope: The slope (m) of the line passing through the two points can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-2, -2) and (x2, y2) = (4, 10).

Substituting the values, we get:

m = (10 - (-2)) / (4 - (-2))

m = 12 / 6

m = 2

Substitute the slope and a point into the point-slope form: The point-slope form of the equation of a line is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We can use either of the given points, so let's use (-2, -2):

y - (-2) = 2(x - (-2))

y + 2 = 2(x + 2)

y + 2 = 2x + 4

y = 2x + 2

Simplify the equation: Finally, we can simplify the equation by rearranging the terms:

y = 2x + 2 - 2

y = 2x + 0

y = 2x

However, none of the answer choices match the equation we derived. This might be because the question contains an error.

The points (-2, -2) and (4, 10) do not lie on a straight line with a slope of 2. Therefore, the equation y - 6 = 2(x - 2) is not the correct answer to this question.

User Xbadal
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