Question

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

Answer 1

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 .