Question

Life f passes through points (1,14) and (10,10). Line g is perpendicular to f. What is the slope of line g

Answer 1

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,

$Slope = (y2-y2)/(x2-x1)$

Here, The point (1,14) is (x1.y1) and (10,10) is (x2,y2).

⇒ $(10-14) / (10-1)$

⇒ $-4 / 9$

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).

⇒ $- (1 / (-4/9))$

⇒ $9/4$

∴ The slope of line g is 9/4.