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mars1129 [50]
3 years ago
11

Which of the following equations could represent the points in the table? Select all that apply.

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

Options (A) and (C)

Step-by-step explanation:

Let the equation represented by the table is,

y - y' = m(x - x')

where m = slope of the line

(x', y') are the coordinates of a point passing through the line.

Since, slope of the line 'm' = \frac{y_2-y_1}{x_2-x_1}

Let the two points given in the table are (0, 11) and (1, 5)

Therefore, slope 'm' = \frac{11-5}{0-1} = -6

Now equation of the line passing through (0, 11) will be,

y - 11 = -6(x - 0)

Equation of the line passing through (1, 5) and slope (-6) will be,

y - 5 = -6(x - 1)

Equation of the line passing through (2, -1) and slope (-6) will be,

y + 1 = -6(x - 2)

Equation of the line passing through (3, -7) and slope (-6) will be,

y + 7 = -6(x - 3)

Therefore, equations given in Options (A) and (C) will be the answer.

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