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14 votes
14 votes
What is the slope of a line that is perpendicular to the line y = -1/2x+ 5?

-2
O 3
O 2

User Csjohnst
by
3.4k points

1 Answer

6 votes
6 votes

Answer:

2

Explanation:

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


\textcolor{steelblue}{\text{How to identify slope?}}

  • 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)


\text{m} = - 1 * ( - (2)/(1) )

m= 2

Thus, the slope of the perpendicular line is
\textcolor{red}{2}.

Other notes:


\textcolor{steelblue}{\text{What is coefficient?}}

  • 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
User Ronie
by
2.6k points
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