If $$ (14,25) $$ and $$ (9,-10) $$ are two anchor points on a trend line, then find the equation of the line. $$ y=[?] x-\square $$

Question

UpStudy AI · Accepted Answer

We first find the slope using the formula

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

Substitute the coordinates $$ (14,25) $$ and $$ (9,-10) $$:

$$
m=\frac{-10-25}{9-14}=\frac{-35}{-5}=7
$$

Now, using the point-slope form of a linear equation:

$$
y-y_1=m(x-x_1)
$$

Choose the point $$ (14,25) $$:

$$
y-25=7(x-14)
$$

Distribute and solve for $$ y $$:

$$
y-25=7x-98
$$

$$
y=7x-98+25
$$

$$
y=7x-73
$$

Thus, the equation of the line is

$$
y=7x-73
$$
The equation of the line is $$ y = 7x - 73 $$.

If \( (14,25) \) and \( (9,-10) \) are two anchor points on a trend line, then find the equation of the line. \( y=[?] x-\square \)