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miss Akunina [59]
3 years ago
13

Use the first and last data points to find the slope intercept equation of a trend line.

Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer:

y = \frac{16}{3}x-79

Step-by-step explanation:

From the given table,

Two points are (1, 15) and (7, 47)

If the two points (x_1,y_1) and (x_2,y_2) are lying on a line then slope 'm' of the line will be,

m = \frac{y_2-y_1}{x_2-x_1}

   = \frac{47-15}{7-1}

   = \frac{32}{6}

   = \frac{16}{3}

Let the equation of a line passing through (h, k) is,

y - h = m(x - k)

If the line passes through (1, 15)

y - 1 = \frac{16}{3}(x-15)

y = \frac{16}{3}x-\frac{16}{3}(15)+1

y = \frac{16}{3}x-80+1

y = \frac{16}{3}x-79

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