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saul85 [17]
3 years ago
9

If (-6,-38) and (5,28) are two anchor points on the trend line, then find the equation of the line

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

The equation of the line is y = 6x - 2 .

Step-by-step explanation:

Formula for the equation of line is.

(y - y_{1}) = m (x - x_{1})

Where m is the slope.

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

As given

If (-6,-38) and (5,28) are two anchor points on the trend line.

Than

m = \frac{28 - (-38)}{5 - (-6)}

m = \frac{28 + 38}{5 + 6}

m = \frac{66}{11}

m = 6

Put the value in the equation of a line.

(y - (-38)) = 6 (x - (-6))

(y + 38) = 6 (x + 6)

(y + 38) = 6x + 6\times 6

(y + 38) = 6x + 36

y = 6x +36 - 38

y = 6x - 2

Therefore the equation of the line is y = 6x - 2 .

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