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Ashraf82

Answer:

The slope of the perpendicular line is [tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

  • The product of the slopes of the perpendicular lines is -1
  • That means to find the slope of a perpendicular line to a given line, reciprocal its value, and reverse its sign
  • Ex: If the slope of a line is [tex]\frac{1}{3}[/tex], then the slope of the line perpendicular to it is -3

Let us solve the question

∵ The equation of a line is y = [tex]\frac{3}{5}[/tex] x - 8

→ The form of the equation is y = m x + b, where m is the slope

∴ The slope of the line is  [tex]\frac{3}{5}[/tex]

→ To find the slope of the line perpendicular to it reciprocal it and

   reverse its sign

∵ The reciprocal of  [tex]\frac{3}{5}[/tex]  is  [tex]\frac{5}{3}[/tex]

→ Change its sign from positive to negative

∴ The slope of the perpendicular line is [tex]-\frac{5}{3}[/tex]

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