Respuesta :

Leora03

Answer:

2

Step-by-step explanation:

To obtain the slope of the perpendicular line, we first have to identify the slope of the given line.

[tex]\textcolor{steelblue}{\text{How to identify slope?}}[/tex]

  • In the slope- intercept form (y= mx +c), the coefficient of x is the slope of the line
  • Do note that this is only true when the coefficient of y in the equation is 1

Given line: y= -½x +5

Slope of given line= -½

After finding the slope of the given line, we can now proceed to find the slope of the perpendicular line.

The product of the slope of two perpendicular lines is -1.

Let the slope of the perpendicular line be m.

m(-½)= -1

m= -1 ÷(-½)

[tex]\text{m} = - 1 \times ( - \frac{2}{1} )[/tex]

m= 2

Thus, the slope of the perpendicular line is [tex]\textcolor{red}{2}[/tex].

Other notes:

[tex]\textcolor{steelblue}{\text{What is coefficient?}}[/tex]

  • Coefficient is the number that comes before a variable
  • For example, in the case of 3x, the variable is x and the coefficient is 3

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