The slope of line g is 9/4.
<u>Step-by-step explanation:</u>
The line f passes through points (1,14) and (10,10).
Line g is perpendicular to f.
<u>To find the slope of line f :</u>
The formula for slope is given by,
Here, The point (1,14) is (x1.y1) and (10,10) is (x2,y2).
⇒
⇒
Therefore, the slope of line f is -4/9.
<u>To find the slope of line g :</u>
Since, the line g is perpendicular to f, the slope of g will be the negative reciprocal of slope of line f.
⇒ slope of g = - (1 / slope of f).
⇒
⇒
∴ The slope of line g is 9/4.