The slope of line g is 9/4.
Step-by-step explanation:
The line f passes through points (1,14) and (10,10).
Line g is perpendicular to f.
To find the slope of line f :
The formula for slope is given by,
[tex]Slope = (y2-y2)/(x2-x1)[/tex]
Here, The point (1,14) is (x1.y1) and (10,10) is (x2,y2).
⇒ [tex](10-14) / (10-1)[/tex]
⇒ [tex]-4 / 9[/tex]
Therefore, the slope of line f is -4/9.
To find the slope of line g :
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).
⇒ [tex]- (1 / (-4/9))[/tex]
⇒ [tex]9/4[/tex]
∴ The slope of line g is 9/4.
