Respuesta :

skyluke89

Answer:

3

Step-by-step explanation:

First of all, we need to calculate the slope of the line shown. This can be computed as:

[tex]m=\frac{\Delta y}{\Delta x}[/tex]

where

[tex]\Delta y = y_2-y_1[/tex] is the increment along the y-direction

[tex]\Delta x = x_2 - x_1[/tex] is the increment along the x-direction

We can choose the following two points to calculate the slope of the line shown:

(0,3) and (3,2)

Therefore, the slope of the line shown is

[tex]m=\frac{2-3}{3-0}=-\frac{1}{3}[/tex]

Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Using [tex]m_1 = -\frac{1}{3}[/tex], we find that a line perpendicular to the line shown should have a slope of

[tex]m_2 = -\frac{1}{-1/3}=3[/tex]

zainebamir540

Answer:

Slope of perpendicular line is 3

Step-by-step explanation:

We have given a figure in which a line is given.

We have to find the slope of the  line that is perpendicular to give line.

Let (x₁,y₂) = (0,3) and (x₂,y₂) = (3,2)

The formula to find the slope of the line

Slope = m = y₂-y₁/x₂-x₁

Putting given values in above formula, we have

Slope  =  m = 2-3 / 3-0

Slope  =  m = -1/3

Perpendicular lines have slopes negative reciprocal to each other.

Hence, slope of perpendicular line is [tex]-(\frac{1}{-1/3})[/tex]

Hence, slope of perpendicular line is 3.

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